- 7.7.1: A real-valued signal x(t) is known to be uniquely determined by its...
- 7.7.2: A continuous-time signal x(t) is obtained at the output of an ideal...
- 7.7.3: The frequency which, under the sampling theorem, must be exceeded b...
- 7.7.4: Let x(t) be a signal with Nyquist rate w 0 . Determine the Nyquist ...
- 7.7.5: Let x(t) be a signal with Nyquist rate w 0 . Also, let y(t) = x(t)p...
- 7.7.6: In the system shown in Figure P7.6, two functions of time, XI (t) a...
- 7.7.7: A signal x(t) undergoes a zero-order hold operation with an effecti...
- 7.7.8: Consider a real, odd, and periodic signal x(t) whose Fourier series...
- 7.7.9: Consider the signal which we wish to sample with a sampling frequen...
- 7.7.11: Let Xc(t) be a continuous-time signal whose Fourier transform has t...
- 7.7.12: A discrete-time signal xd[n] has a Fourier transform Xd(ejw) with t...
- 7.7.13: With reference to the filtering approach illustrated in Figure 7.24...
- 7.7.14: Repeat the previous problem, except this time assume that
- 7.7.15: Impulse-train sampling of x[n] is used to obtain g[n] = L x[n]S[n- ...
- 7.7.16: The following facts are given about the signal x[n] and its Fourier...
- 7.7.17: Consider an ideal discrete-time bandstop filter with impulse respon...
- 7.7.18: Suppose the impulse response of an ideal discrete-time lowpass filt...
- 7.7.19: Consider the system shown in Figure P7.19, with input x[n] and the ...
- 7.7.21: A signal x(t) with Fourier transform X(jw) undergoes impulse-train ...
- 7.7.22: The signal y(t) is generated by convolving a band-limited signal XI...
- 7.7.23: Shown in Figure P7.23 is a system in which the sampling signal is a...
- 7.7.24: Shown in Figure P7 .24 is a system in which the input signal is mul...
- 7.7.25: In Figure P7 .25 is a sampler, followed by an ideallowpass filter, ...
- 7.7.26: The sampling theorem, as we have derived it, states that a signal x...
- 7.7.27: In .26, we considered one procedure for bandpass sampling and recon...
- 7.7.28: Figure P7.28(a) shows a system that converts a continuous-time sign...
- 7.7.29: Figure P7 .29( a) shows the overall system for filtering a continuo...
- 7.7.31: Shown in Figure P7 .31 is a system that processes continuous-time s...
- 7.7.32: A signal x[n] has a Fourier transform X(ejw) that is zero for ( 7T/...
- 7.7.33: A signal x[n] with Fourier transform X(e.iw) has the property that ...
- 7.7.34: A real-valued discrete-time signal x[n] has a Fourier transform X(e...
- 7.7.35: Consider a discrete-time sequence x[n] from which we form two new s...
- 7.7.36: Letx(t)beaband-limitedsignalsuchthatX(jw) = Oforlwl2 117T 4 / w (a)...
- 7.7.37: A signal limited in bandwidth to lw I < W can be recovered from non...
- 7.7.38: It is frequently necessary to display on an oscilloscope screen wav...
- 7.7.39: A signal xp(t) is obtained through impule-train sampling of a sinus...
- 7.7.41: In many practical situations a signal is recorded in the presence o...
- 7.7.42: Consider a band-limited signal xc(t) that is sampled at a rate high...
- 7.7.43: Figure P7.43(a) depicts a system for which the input and output are...
- 7.7.44: Suppose we wish to design a continuous-time generator that is capab...
- 7.7.45: In the system shown in Figure P7.45, the input Xc(t) is band limite...
- 7.7.46: A signal x[n] is sampled in discrete time as shown in Figure P7.46....
- 7.7.47: Suppose x[n] has a Fourier transform that is zero for 7T/3 :::; lwl...
- 7.7.48: Ifx[n] = cos(~n+ )with0:::;
- 7.7.49: As discussed in Section 7.5 and illustrated in Figure 7.37, the pro...
- 7.7.51: As shown in Figure 7.37 and discussed in Section 7.5.2, the procedu...
- 7.7.52: In this problem we develop the dual to the time-domain sampling the...

# Solutions for Chapter 7: Sampling

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ISBN: 9780138147570

Solutions for Chapter 7: Sampling

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