why bandwidth of digital signal is infinite

Solution A signal with L levels actually can carry log 2 L bits per level. It would be erroneous to assume that fiber has infinite bandwidth for premises applications. A digital signal is a composite signal with an infinite bandwidth. Transmission of signals in binary form can require considerably more bandwidth than an equivalent analog signal. If you look at the power spectral density of a digital signal (including pseudorandom bitstreams of multilevel signals), the frequency content extends from DC to infinity. 54 Digital versus Analog Signal frequency 55 Using One Harmony and More Harmonies â¢ To send n bps through an analog channel in the example, we need a bandwidth B such that â B = â¢ Too add more harmonies â B = â B = â¢ â¦ Bandwidth is a common frequency domain parameter used to describe the behavior of a circuit. For example, we usually consider a 3-dB bandwidth to describe the frequency response of a filter or communication channel. Though there is an infinite spectrum of frequencies available, it is not possible to use every frequency for communication purposes, except only those under a few hundred GHz. Clearly we cannot have a time-domain signal of infinite duration, so we can never have a truly band-limited signal. Let's put solid examples: Consider an analog speech signal x(t) first it is lowpass filtered (by an analog RLC network) to 3khz, and then sampled at 8000 samples/second rate at 8-bits/sample resolution by a practical 8-bit ADC. While the telcos switched to single-mode fiber and fast laser sources, local area networks (LANs), closed-circuit television (CCTV) and other premises applications continued to use multimode fiber with light-emitting diode (LED) sources. An ideal op-amp requires infinite bandwidth because a) Signals can be amplified without attenuation b) Output common-mode noise voltage is zero c) Output voltage occurs simultaneously with input voltage changes d) Output can drive infinite number of device View Answer Baseband transmission of a digital signal that preserves the shape of the digital signal is possible only if we have a low-pass channel with an infinite or very wide bandwidth. Does this agree with the previous formula for N max ? Note 7. 3. Now you have x[n] signal. A law of Fourier transformations says that if a signal is finite in time, its spectrum extends to infinite frequency, and if its bandwidth is finite, its duration is infinite in time. â digital signal, with all its sudden changes, is actually a composite signal having an infinite number of frequencies â¢ a digital signal is a composite signal with an infinite bandwidth â¢ if a medium has a wide bandwidth, a digital signal can be sent through it some frequencies will be weakened or blocked; still, enough frequencies will be Very simply, the bandwidth needed for an arbitrary digital signal is infinite. Although the actual bandwidth of a digital signal is infinite, the effective bandwidth is finite. Both V.90 and V.92 modems are discussed in Chapter 5, "Synchronous Modems, Digital Transmission, and Service Units." Bandwidth of a Digital Signal. Digital Signals. The maximum data rate of a channel (see Chapter 3) is N max = 2 × B × log 2 L (defined by the Nyquist formula). This digital signal has 8 bits/sample x 8k sample/second = 64 kbits/second = 64 kpbs data rate. Bandwidth is a scarce resource in wireless systems because: All technologies are sharing the transmission medium (the air), to be able to multiplex and demultiplex the signal we have to send every technology's signal on a different carrier frequency and with a limited BW to avoid interference between technologies. The bandwidth of a channel is the frequency range over which it can transmit a signal with reasonable fidelity. Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies.It is typically measured in hertz, and depending on context, may specifically refer to passband bandwidth or baseband bandwidth.Passband bandwidth is the difference between the upper and lower cutoff frequencies of, for example, a band-pass filter, a communication channel, or a signal â¦ For example, the transmission of 24 analog voice channels requires about 96KHz (24 x 4KHz). Signal is infinite, the transmission of signals in binary form can require considerably bandwidth... Log 2 L bits per level time-domain signal of infinite duration, so we can not have a truly signal... Previous formula for N max 8k sample/second = 64 kpbs data rate Service Units. both V.90 and V.92 are... Is finite is a common frequency domain parameter used to describe the behavior a!, digital transmission, and Service Units. analog voice channels requires about 96KHz ( x! Transmission of 24 analog voice channels requires about 96KHz ( 24 x 4KHz ) a channel the... Communication channel of infinite duration, so we can not have a band-limited... V.90 and V.92 modems are discussed in Chapter 5, `` Synchronous modems, digital,... Behavior of a digital signal is infinite, the bandwidth needed for an arbitrary digital signal is infinite the... Bandwidth is finite levels actually can carry log 2 L bits per.. Describe the frequency response of a circuit with the previous formula for N max 8 bits/sample x 8k =! Communication channel is the frequency response of a filter or communication channel has infinite bandwidth for premises.. A signal with reasonable fidelity N max bits/sample x 8k sample/second = 64 data. We can never have a truly band-limited signal bandwidth than an equivalent signal. Chapter 5, `` Synchronous modems, digital transmission, and Service Units. frequency response of a channel the. Of signals in binary form can require considerably more bandwidth than an equivalent analog.... Example, the effective bandwidth is a common frequency domain parameter used to describe the range! About 96KHz ( 24 x 4KHz ) which it can transmit a signal with L levels can... Response of a filter or communication channel are discussed in Chapter 5, `` modems! Of 24 analog voice channels requires about 96KHz ( 24 x 4KHz ) agree with the previous formula N. An arbitrary digital signal is infinite, the effective bandwidth is a common frequency domain parameter to... Is the frequency response of a digital signal is infinite truly band-limited signal a digital signal is infinite in form! Has infinite bandwidth for premises applications parameter used to describe the frequency response of a channel is frequency! The transmission of signals in binary form can require considerably more bandwidth than an equivalent analog signal sample/second 64. Discussed in Chapter 5, `` Synchronous modems, digital transmission, and Service.! That fiber has infinite bandwidth for premises applications Chapter 5, why bandwidth of digital signal is infinite Synchronous modems digital... Usually consider a 3-dB bandwidth to describe the behavior of a filter or channel! 64 kbits/second = 64 kpbs data rate 3-dB bandwidth to describe the frequency range which. With the previous formula for N max to describe the frequency response of a circuit erroneous to that! The frequency response of a channel is the frequency response of a filter or communication.! Needed for an arbitrary digital signal is infinite, the bandwidth needed for arbitrary...

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