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Spectrum of a baseband signal, energy E per unit frequency as a function of frequency f. The total energy is the area under the curve.

In telecommunications and signal processing, baseband is the range of frequencies occupied by a signal that has not been modulated to higher frequencies.[1] Baseband signals typically originate from transducers, converting some other variable into an electrical signal. For example, the electronic output of a microphone is a baseband signal that is analogous to the applied voice audio. In conventional analog radio broadcasting, the baseband audio signal is used to modulate an RF carrier signal of a much higher frequency.

A baseband signal may have frequency components going all the way down to the DC bias, or at least it will have a high ratio bandwidth. A modulated baseband signal is called a passband signal. This occupies a higher range of frequencies and has a lower ratio and fractional bandwidth.

Various uses

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Baseband signal

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A baseband signal or lowpass signal is a signal that can include frequencies that are very near zero, by comparison with its highest frequency (for example, a sound waveform can be considered as a baseband signal, whereas a radio signal or any other modulated signal is not).[2]

A baseband bandwidth is equal to the highest frequency of a signal or system, or an upper bound on such frequencies,[3] for example the upper cut-off frequency of a low-pass filter. By contrast, passband bandwidth is the difference between a highest frequency and a nonzero lowest frequency.

Baseband channel

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A baseband channel or lowpass channel (or system, or network) is a communication channel that can transfer frequencies that are very near zero.[4] Examples are serial cables and local area networks (LANs), as opposed to passband channels such as radio frequency channels and passband filtered wires of the analog telephone network. Frequency division multiplexing (FDM) allows an analog telephone wire to carry a baseband telephone call, concurrently as one or several carrier-modulated telephone calls.

Digital baseband transmission

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Main article: Line code

Digital baseband transmission, also known as line coding,[5] aims at transferring a digital bit stream over baseband channel, typically an unfiltered wire, contrary to passband transmission, also known as carrier-modulated transmission.[6] Passband transmission makes communication possible over a bandpass filtered channel, such as the telephone network local-loop or a band-limited wireless channel.[7]

Baseband transmission in Ethernet

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The word "BASE" in Ethernet physical layer standards, for example 10BASE5, 100BASE-TX and 1000BASE-SX, implies baseband digital transmission (i.e. that a line code and an unfiltered wire are used).[8][9]

Baseband processor

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A baseband processor also known as BP or BBP is used to process the down-converted digital signal to retrieve essential data for a wireless digital system. The baseband processing block in GNSS receivers is responsible for providing observable data: that is, code pseudo-ranges and carrier phase measurements, as well as navigation data.[7]

Equivalent baseband signal

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On the left is a part of the transmitter, which will take in a stream of baseband IQ data, and use this to amplitude modulate a Local Oscillator's signal, both the standard sine wave from the LO, and also a version which phase shifted by 90° (in-phase and quadrature) - these modulated signals are combined, to form the Intermediate frequency IF representation. In a typical transmitter, the IF would get up-converted, filtered, amplified, then transmitted from an antenna. (These are not shown)
On the right we see an aspect of the receiver. After some low-noise amplification, filtering and down-conversion (not shown) to an IF, the signal is mixed with the in-phase sine from the LO, and also the quadrature version of the LO, giving a complex (or 2-dimensional) representation of the signal. This IQ data could then be supplied to a digital signal processor to extract symbols or data.

An equivalent baseband signal or equivalent lowpass signal is a complex valued representation of the modulated physical signal (the so-called passband signal or RF signal). It is a concept within analog and digital modulation methods for (passband) signals with constant or varying carrier frequency (for example ASK, PSK QAM, and FSK). The equivalent baseband signal is where is the inphase signal, the quadrature phase signal, and the imaginary unit. This signal is sometimes called IQ data. In a digital modulation method, the and signals of each modulation symbol are evident from the constellation diagram. The frequency spectrum of this signal includes negative as well as positive frequencies. The physical passband signal corresponds to

where is the carrier angular frequency in rad/s.[10]

Modulation

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A signal at baseband is often used to modulate a higher frequency carrier signal in order that it may be transmitted via radio. Modulation results in shifting the signal up to much higher frequencies (radio frequencies, or RF) than it originally spanned. A key consequence of the usual double-sideband amplitude modulation (AM) is that the range of frequencies the signal spans (its spectral bandwidth) is doubled. Thus, the RF bandwidth of a signal (measured from the lowest frequency as opposed to 0 Hz) is twice its baseband bandwidth. Steps may be taken to reduce this effect, such as single-sideband modulation. Conversely, some transmission schemes such as frequency modulation use even more bandwidth.

The figure below shows AM modulation:

Comparison of the equivalent baseband version of a signal and its AM-modulated (double-sideband) RF version, showing the typical doubling of the occupied bandwidth.

See also

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Look up baseband in Wiktionary, the free dictionary.

References

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Revisions and contributorsEdit on WikipediaRead on Wikipedia

Baseband

View on Grokipedia
from Grokipedia
In and , baseband refers to the original range of frequencies occupied by a signal before it undergoes modulation to higher frequencies, typically extending from near (DC) up to a maximum determined by the signal's bandwidth. This unmodulated form allows the signal to be transmitted directly over a medium without frequency shifting, distinguishing it from passband signals that are centered around a carrier for efficient over longer distances or multiple channels. Baseband signals can be either analog, such as those originating from a , or digital, and they form the foundational representation of information in various communication systems. In data transmission contexts, baseband transmission involves sending digital signals directly over a communication medium using the full available bandwidth for a single channel, without modulation, which enables high-speed, bidirectional communication on media like twisted-pair cables or lines. This contrasts with transmission, which employs modulation to divide the medium's bandwidth into multiple channels, allowing simultaneous transmission of several signals, often analog, as seen in or certain wide-area networks. Most local area networks (LANs), including Ethernet, operate as baseband systems due to their reliance on digital signaling over a single channel at any given time, providing and cost-effectiveness for short-distance connectivity. In modern and cellular networks, baseband concepts extend to hardware components like the baseband unit (BBU), a centralized processing element in base stations responsible for handling baseband tasks such as modulation, , error correction, and protocol management before interfacing with radio units. In and beyond, BBUs are increasingly virtualized in cloud-native architectures like Open RAN to enable scalable resource pooling and efficiency. In cloud radio access networks (C-RAN), BBUs are often pooled in remote locations to optimize resource sharing and energy efficiency across multiple cell sites. Similarly, in mobile devices, a (or ) is a dedicated subsystem, typically implemented as a separate system-on-chip (SoC) with its own CPU and operating system, that manages cellular connectivity, protocol stacks, and interactions independently from the main application processor. This separation enhances security and performance but introduces unique challenges in integration and vulnerability management.

Fundamentals

Baseband Signal

A baseband signal is an original, unmodulated electrical signal whose frequency content begins at zero hertz (direct current, or DC) and extends up to a maximum frequency, occupying the lowest portion of the frequency spectrum. This type of signal represents the base form of information-bearing content before any frequency shifting or modulation is applied, distinguishing it from passband signals that are shifted to higher carrier frequencies. Key characteristics of a baseband signal include its concentration of low-frequency components near zero hertz, with the signal's bandwidth defined as the range from DC to its highest component. For instance, a typical audio baseband signal spans from 20 Hz to 20 kHz, capturing the full range of human hearing for applications like voice communication. In video systems, the baseband signal for analog extends up to 4.2 MHz, encompassing and information. The absence of a carrier means the signal's power is distributed directly across its inherent band, making it suitable for direct transmission in certain contexts. Mathematically, a baseband signal can be represented in the time domain as s(t)s(t), where its Fourier transform S(f)S(f) has non-zero support primarily from 0 Hz to a bandwidth BB Hz, reflecting the signal's low-pass nature without any carrier-induced shift. The concept of baseband signals originated in the late 19th century with early electrical telegraphy and telephony systems, where direct transmission of unmodulated pulses or voice signals over metallic wires enabled point-to-point communication without the need for frequency modulation. Pioneered by inventors like Samuel Morse in the 1830s for telegraphy and Alexander Graham Bell in 1876 for telephony, these systems relied on baseband signaling to convey information efficiently over short wired distances. Baseband signals offer advantages such as simpler processing requirements, as they avoid the complexities of modulation and circuits, and facilitate cost-effective transmission over short distances using basic cabling. However, they are disadvantaged by high susceptibility to and over long cables, particularly due to their low-frequency content, which makes them impractical for extended-range applications without amplification or modulation.

Baseband Channel

A baseband channel is a transmission path that carries unmodulated signals directly in their original low-frequency range, typically from near zero hertz up to a maximum , without shifting to higher carrier . Baseband channels are typically wired, as unmodulated low-frequency signals do not propagate well over media without modulation. Common examples include twisted-pair cables and cables, which serve as the physical medium for these signals in systems. Key characteristics of baseband channels include limited bandwidth, where the channel supports frequencies only up to a specified cutoff, such as 100 MHz for Category 5 unshielded twisted-pair (UTP) cable used in Ethernet applications. in these channels increases with both signal and transmission , leading to signal degradation over longer paths that often requires compensation through equalizers or amplifiers. Additionally, baseband channels are susceptible to noise sources such as (EMI), crosstalk from adjacent wires, and environmental factors like hum pickup, which can degrade the (SNR). The capacity of a baseband channel, representing the maximum reliable data rate, is given by Shannon's formula: C=Blog⁡2(1+SNR)C = B \log_2 (1 + \text{SNR}) where CC is the capacity in bits per second, BB is the channel bandwidth in hertz, and SNR is the . For instance, a typical baseband channel with a bandwidth of 3 kHz and an SNR of 30 dB (approximately 1000) yields a capacity of about 30 kbps, illustrating the practical limits for voice-grade channels. Wired examples include serial interfaces, which use baseband signaling over copper wires for short-distance asynchronous communication at rates up to 20 kbps. Limitations of baseband channels primarily stem from distance constraints and signal degradation; for example, Ethernet over is restricted to 100 meters between devices before requiring or switches to regenerate the signal and prevent excessive or error rates. These restrictions arise from the channel's inability to maintain over longer spans without amplification, making baseband suitable mainly for local or short-haul applications.

Transmission

Digital Baseband Transmission

Digital baseband transmission refers to the process of sending binary data—represented as 0s and 1s—directly as voltage levels or pulses over a baseband channel without any carrier modulation, allowing the signal to occupy the full bandwidth from DC to the channel's cutoff frequency. This approach contrasts with passband methods by transmitting the digital signal in its raw form, typically using electrical pulses on twisted-pair or coaxial cables, and is fundamental to short-distance, high-speed data links due to its simplicity and efficiency in bandwidth utilization. Key encoding techniques transform the stream into suitable waveforms for reliable transmission. (NRZ) encoding maps a binary 1 to a positive voltage and 0 to a negative (or zero) voltage, maintaining the level throughout the bit period, which minimizes bandwidth but can suffer from baseline wander and issues during long runs of identical bits. Manchester coding addresses by incorporating a transition in the middle of each bit period—rising edge for 0 and falling edge for 1—ensuring self-clocking while achieving DC balance, though at the cost of doubled bandwidth requirements. For higher , the 4B/5B scheme used in standards like (FDDI) encodes every 4 data bits into a 5-bit code that guarantees sufficient transitions for and avoids long sequences of 0s or 1s, yielding 80% encoding when combined with NRZI transmission. To mitigate (ISI), where adjacent pulses overlap due to channel dispersion, techniques—such as raised-cosine filtering—confine the signal spectrum and ensure minimal overlap, preserving symbol integrity. Central concepts include the distinction between bit rate (bits per second) and baud rate (symbols per second), where multilevel encoding can increase the beyond the baud rate by using more than two signal levels per symbol. The Nyquist rate dictates that for a baseband channel of bandwidth BB, the maximum symbol rate without ISI is $2B$ symbols per second, enabling reliable sampling and reconstruction at twice the highest frequency component. Signal integrity is assessed using eye diagrams, which overlay multiple bit periods on an oscilloscope to visualize the received signal's "eye" opening; a wide, clear opening indicates low ISI, ample , and precise timing, while closure signals degradation. Line coding also handles errors by promoting DC balance—maintaining zero average voltage to prevent transformer saturation—and synchronization through enforced transitions. Alternate Mark Inversion (AMI), a bipolar scheme, represents 0s with no pulse and alternating positive/negative pulses for consecutive 1s, eliminating DC components and aiding error detection via bipolar violations, though it requires modifications like B8ZS for long zero runs. These techniques evolved from early telegraphy systems, which used basic on-off pulsing for transmission over wires, to modern standards incorporating advanced coding for robustness. Applications span local area networks (LANs), where baseband signaling enables direct digital transmission over or twisted-pair media for efficient ; USB interfaces, utilizing NRZ-inverted encoding with for reliable serial data transfer; and legacy serial ports like , which employ baseband voltage shifts for point-to-point communication in and .

Baseband Transmission in Ethernet

Baseband transmission in Ethernet refers to the use of unmodulated digital signaling over a single frequency band to carry data directly, a technique central to early (LAN) implementations under the standard. Introduced with the specification in 1983, this approach enabled 10 Mbps operation over thick , marking the first commercially viable Ethernet variant and laying the foundation for shared-medium networking. The system supported segment lengths up to 500 meters, with connections made via transceivers clamped onto the cable, facilitating initial deployments in office environments. The evolution to twisted-pair cabling occurred with the ratification of IEEE 802.3i in 1990, introducing 10BASE-T and shifting from to unshielded twisted-pair (UTP) wiring for greater flexibility and ease of installation. This change supported star topologies with a maximum segment length of 100 meters per link, dramatically simplifying cabling infrastructure and accelerating Ethernet's adoption in commercial settings. By the mid-1990s, 10BASE-T had become the dominant , enabling cost-effective LAN expansions. Technically, baseband Ethernet employs Carrier Sense Multiple Access with Collision Detection (CSMA/CD) as the media access control method, allowing devices to listen for a clear channel before transmitting and to detect collisions during shared-medium operation. In early 10 Mbps variants like 10BASE5 and 10BASE-T, Manchester encoding is used for line coding, embedding clock synchronization within the data stream by transitioning the signal mid-bit period—high-to-low for a logical 0 and low-to-high for a 1—ensuring reliable self-clocking transmission at 10 Mbps. Later twisted-pair implementations, such as 10BASE-T, introduced full-duplex mode, permitting simultaneous bidirectional communication without CSMA/CD, which eliminated collision risks and effectively doubled throughput to 20 Mbps on point-to-point links. The standard governs baseband transmission for 10 Mbps and 100 Mbps Ethernet, specifying parameters including cable types and mechanisms. For instance, 100BASE-TX operates at 100 Mbps using Category 5 (Cat5) UTP cable, supporting distances up to 100 meters with to reduce while maintaining baseband signaling. in half-duplex modes relies on jam signals and backoff algorithms defined in CSMA/CD, ensuring fair access on shared segments by monitoring carrier sense and detecting signal overlaps. Compared to broadband Ethernet variants like the short-lived 10BROAD36, baseband transmission offers simpler hardware requirements and lower costs for LANs, as it avoids complex analog modulation and circuits needed for . However, its half-duplex limitations—such as collision-induced delays—prompted the widespread adoption of switches for full-duplex operation, mitigating these issues in dense networks. In modern contexts, baseband transmission has been largely supplanted by higher-speed standards like (1000BASE-T), which employs PAM-5 line coding for 1 Gbps over Cat5e cable, though this multi-level approach pushes closer to characteristics while retaining baseband principles of direct digital signaling. Nonetheless, baseband concepts endure in low-speed segments, such as industrial or legacy 10/100 Mbps links, where simplicity and compatibility remain valuable.

Hardware

Baseband Processor

A baseband processor (BBP), also known as a , is a specialized or system-on-chip (SoC) designed to handle for baseband communications in devices, operating independently from the device's main application processor to manage cellular connectivity. This separation allows the BBP to focus on communication-specific tasks without interfering with user applications, ensuring efficient in power-constrained environments like smartphones. The core functions of a BBP involve demodulating and decoding incoming radio signals to extract , as well as modulating and encoding outgoing into baseband signals suitable for transmission over the air interface. It also manages protocol stacks for various cellular standards, including for , LTE for , and , enabling seamless handling of voice, data, and control signaling. In terms of architecture, a typical BBP integrates (DSP) cores for real-time signal manipulation, channel coding/decoding modules, a subsystem for protocol implementation, and interfaces to the (RF) front-end for analog-digital conversion. features, such as dynamic voltage and , are incorporated to optimize battery life in mobile devices by reducing energy consumption during idle or low-activity states. Prominent examples include Qualcomm's Snapdragon X-series s, which combine 4 nm baseband processing with RF systems for support, and historical Intel XMM-series chips for LTE and early . Newer examples include the Snapdragon X80, announced in 2024, which integrates advanced AI for 5G-Advanced. Baseband processors trace their origins to the , when they were standalone chips in early mobile phones primarily for basic voice modulation in analog and initial digital systems like . By the 2000s, integration with application processors became common in feature phones, evolving into sophisticated SoCs in smartphones by the 2010s to support high-speed data and multimedia. This progression enabled multi-mode capabilities, such as seamless fallback between LTE and , accommodating diverse frequency bands and air interfaces in modern devices. Significant challenges in BBP design include managing heat dissipation from intensive DSP operations, which demands advanced thermal throttling and efficient fabrication processes like 4 nm nodes to maintain performance without overheating in compact mobile form factors. Security vulnerabilities pose another critical issue, as flaws in baseband can enable remote exploits, such as over-the-air code execution or denial-of-service attacks, prompting mitigations like firmware hardening and sanitization in platforms like Android.

Baseband Unit

A baseband unit (BBU) serves as the in a wireless base station, such as the in LTE or gNodeB in networks, responsible for handling all digital baseband signal processing functions. It processes incoming (RF) signals into digital data streams and vice versa, enabling efficient communication between the core network and remote radio units (RRUs). According to specifications, the BBU integrates with the overall (RAN) architecture to support advanced wireless protocols. The BBU typically comprises multiple modular components, including baseband boards dedicated to signal processing tasks like modulation, , encoding, and decoding, as well as a for resource scheduling and management. Key interfaces, such as the (CPRI), facilitate high-speed, low-latency connections between the BBU and RRUs, often over fiber optic links to transport digitized IQ (in-phase and quadrature) samples. These components allow the BBU to act as the "brain" of the RAN, performing (DSP) while offloading analog RF functions to remote units. In terms of functions, the BBU executes complex algorithms for multi-user multiple-input multiple-output (MU-MIMO) processing and , which are essential for and interference mitigation in dense user environments. In 5G deployments, it supports massive configurations with dozens or hundreds of antennas, enabling simultaneous service to multiple users and achieving significant gains. This involves high computational loads, as the BBU must handle real-time and scheduling to support elevated throughputs in multi-antenna systems. standards outline these capabilities within the NG-RAN framework for 5G New Radio (NR). The architecture of BBUs has evolved significantly, with the split BBU-RRU model emerging in 4G LTE during the 2010s to enhance flexibility and reduce site costs by centralizing baseband processing. This centralized RAN (C-RAN) approach pools multiple BBUs for resource sharing. By 2018, virtualization advancements led to virtual BBUs (vBBUs) in cloud RAN for , leveraging to run on general-purpose hardware in data centers, improving scalability and reducing hardware dependencies. As of 2025, BBUs increasingly adopt O-RAN interfaces for open and virtualized architectures. Industry standards from , including TS 38.401 for NG-RAN architecture, govern BBU implementations, with vendors like and providing compliant solutions such as Huawei's DBS5900 modular BBU and Nokia's pooled BBU systems. Recent BBUs incorporate energy efficiency enhancements, such as dynamic power scaling and advanced cooling, achieving reductions of 15-30% in consumption compared to prior generations through optimized processing and hardware upgrades.

Signal Processing

Equivalent Baseband Signal

An equivalent baseband signal, also known as the complex envelope, is a complex-valued representation of a real-valued bandpass signal that shifts the signal's spectrum from around a high carrier frequency fcf_c to baseband frequencies near zero, facilitating easier and . This representation captures the essential information content of the original bandpass signal while suppressing the rapid oscillations due to the carrier, allowing focus on the modulating . Mathematically, a bandpass signal s(t)s(t) can be expressed as s(t)=ℜ{u~(t)ej2πfct}s(t) = \Re \left\{ \tilde{u}(t) e^{j 2 \pi f_c t} \right\}, where u~(t)\tilde{u}(t) is the complex baseband equivalent signal, or , with bandwidth B≪fcB \ll f_c. Here, u~(t)=i(t)+jq(t)\tilde{u}(t) = i(t) + j q(t), where i(t)i(t) and q(t)q(t) are the , respectively, preserving the and phase information of the original signal. The low-pass equivalent filter corresponding to a is designed such that its is the baseband equivalent, enabling simulations at reduced sampling rates. The derivation of the equivalent baseband signal relies on the , formed by suppressing negative frequency components of the bandpass signal using the . The analytic signal sa(t)=s(t)+js^(t)s_a(t) = s(t) + j \hat{s}(t), where s^(t)\hat{s}(t) is the Hilbert transform of s(t)s(t), has a spectrum confined to positive frequencies. The complex envelope is then obtained by frequency-shifting: u~(t)=sa(t)e−j2πfct\tilde{u}(t) = s_a(t) e^{-j 2 \pi f_c t}. For example, in (AM), a signal s(t)=Ac[1+kam(t)]cos⁡(2πfct)s(t) = A_c [1 + k_a m(t)] \cos(2 \pi f_c t), where m(t)m(t) is the baseband message, has the baseband equivalent u~(t)=Ac[1+kam(t)]\tilde{u}(t) = A_c [1 + k_a m(t)], which directly represents the modulation without the carrier. In applications such as system simulation and analysis, equivalent baseband signals significantly reduce by allowing processing at baseband sampling rates (approximately 2B2B samples per second) instead of rates (around 2(fc+B)2(f_c + B)). Tools like utilize this approach in communication system models, enabling efficient performance evaluation of modulation schemes and channels while maintaining equivalence to the original bandpass behavior.

Baseband in Modulation

In modulation, baseband signals act as the modulating that carries the to be transmitted, altering the characteristics of a high-frequency carrier signal to produce a signal suitable for transmission over or wired channels. In analog modulation schemes such as (AM), (FM), and (PM), the baseband signal—typically an audio or video —directly influences the , , or phase of the carrier, respectively. For instance, in AM, the baseband signal varies the carrier's proportionally, while in FM and PM, it modulates the instantaneous or phase deviation from the carrier. In digital modulation, baseband signals are represented as in-phase (I) and quadrature (Q) components, which form complex baseband data used to modulate the carrier in schemes like binary phase-shift keying (BPSK) and quadrature phase-shift keying (QPSK). BPSK shifts the carrier phase by 180 degrees based on a binary baseband bit stream, whereas QPSK uses four phase states derived from two bits per symbol, enabling higher data rates. The modulation process involves upconverting the baseband spectrum around zero to a centered at the carrier fcf_c, typically by multiplying the baseband signal with a cosine or complex exponential at fcf_c; reverses this by downconverting the received signal back to baseband. This translation allows efficient use of the spectrum, with measured in bits per second per hertz (bit/s/Hz), where higher-order modulations like QPSK achieve up to 2 bit/s/Hz compared to BPSK's 1 bit/s/Hz. Analog modulation examples include voice signals (baseband bandwidth around 4 kHz) modulating an RF carrier for broadcast radio, producing a signal for antenna transmission. In digital contexts, (OFDM) processes baseband symbols—groups of modulated data bits—into parallel subcarriers at baseband before upconversion; this is central to ( standards) and , where each OFDM symbol spans multiple subcarriers to combat multipath fading. Bandwidth considerations are critical: for double-sideband AM, the modulated signal occupies approximately $2B(twicethebasebandbandwidth(twice the baseband bandwidthB),asitincludessymmetricupperandlower[sideband](/page/Sideband)saround), as it includes symmetric upper and lower [sideband](/page/Sideband)s around f_c.[](https://web.stanford.edu/class/ee179/lectures/notes07.pdf)Toconserve[spectrum](/page/Spectrum),vestigialsideband(VSB)modulationsuppressesmostofone[sideband](/page/Sideband)whileretainingavestigefor[demodulation](/page/Demodulation)simplicity,reducingbandwidthtoabout.[](https://web.stanford.edu/class/ee179/lectures/notes07.pdf) To conserve [spectrum](/page/Spectrum), vestigial sideband (VSB) modulation suppresses most of one [sideband](/page/Sideband) while retaining a vestige for [demodulation](/page/Demodulation) simplicity, reducing bandwidth to about B + f_v(where(wheref_visthevestigialfrequency,often25is the vestigial frequency, often 25% ofB$), as used in analog transmission. The historical significance of baseband modulation traces to the early 1900s, when it enabled long-distance radio transmission; in 1900, achieved the first amplitude-modulated voice transmission over 1.6 km using a baseband on a carrier, marking a shift from spark-gap to continuous-wave . In modern systems, digital baseband predistortion enhances linearity by applying inverse nonlinearities to the baseband I/Q signals before modulation, compensating for power amplifier distortions in high-efficiency RF transmitters for and beyond.

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