a) For a signal h(n)= {-1, 1, 2, 1, -1} ↑ Find the expression for the DTFT of the signal, i.e. derive H(w). What is the magnitude and what is the phase of H(w)? Hint: the expressions can be simplified quite a bit if you use symmetry (before deriving the magnitude/phase). b) Prove that the DTFT of an arbitrary even signal has a phase that is either 0 or rt (i.e. that the DTFT of such a signal is real). Hint: write DTFT as a sum of pairs of symmetric terms-then simplify

a) For a signal h(n)= {-1, 1, 2, 1, -1} ↑ Find the expression for the DTFT of the signal, i.e. derive H(w). What is the magnitude and what is the phase of H(w)? Hint: the expressions can be simplified quite a bit if you use symmetry (before deriving the magnitude/phase). b) Prove that the DTFT of an arbitrary even signal has a phase that is either 0 or rt (i.e. that the DTFT of such a signal is real). Hint: write DTFT as a sum of pairs of symmetric terms-then simplify

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

For the system defined by the first-order differential equation 100y'(t) + y(t) = x(t). a) Plot the log magnitude (dB)-log frequency graph of H(jw). b) The input is assumed to be suppressed when the magnitude of H(jw) is -40 dB. It is given that the x(t)=coswat signal is suppressed by this system. What is the smallest wa value in this case? Subject: Signals and Systems
a modulating signal given by v(t)=20v; between -2 and 2s and v(t)=0 for another value multiplies the signal cos 400000pi t, Determine the expression in time and frequency of the DBL-PS signal for a power of 6500W
The mn (t) sign has a bandwidth of 10.000Hz and the power it carries is 0.5 W. The Acos2πf0t carrier mark has 200W of power. When the frequency-modulated signal with kf = 50,000 is generated with the mn (t) sign, write the expression of the signal in the time domain, calculate its width and the sign efficiently.
For the system defined by the first-order differential equation: Draw the log magnitude (dB)-log frequency graph of H(jw). (The phase graph is not required. The frequency axis is expected to be logarithmic when drawing the log magnitude graph.) The input is assumed to be suppressed when the magnitude of H(jw) is -40dB. It is given that the x(t)=coswat signal is suppressed by this system. What is the smallest value of wa in this case?
6/ A TV signal has a bandwidth of 4.5 MHz. The signal is sampled according to the Nyquist theorem, quantized in 1024 levels and coded to obtain a PCM signal. Nyquist theorem, quantized in 1024 levels and encoded to obtain a PCM signal, which is then transmitted using a 16-PAM scheme. transmitted using a 16-PAM scheme. What is the transmission rate in baud [symbols/second]? [symbols/second]?
Signals and Systems An analog signal is given as x(t) = 5 + 2 cos(20??) + 3 cos(400??)a) What is the bandwidth of x(t)? Determine the Nyquist sampling frequency for x(t), both in radian/sec (ws), and in Hz (Fs ).b) Formulate ?? (??), the signal sampled with the Nyquist frequency.c) Plot frequency spectrum of the sampled signal, Xp(jw).d) Determine the filter to reconstruct the signal x(t).e) Is it possible to reconstruct the signal x(t) for Ts = 0.004 [s]? State that if aliasing error occurs ornot
Given the discrete-time signal with period N>2, determine what statements are true given in the image below.
Kindly help to answer this figure shown. Find the transfer function of the system whose signal flow graph is shown
Given the signal flow graph, apply Mason’s Rule to acquire the single transfer function, G(s). Express your transfer function in a form where the coefficient of the highest exponent of s in the denominator is equal to 1. If there is a numerical answer that is nonterminating, it should be expressed up to three (3) decimal places only.
Find the frequency response of ? (?) for the given circuit and what kind of filter the circuit Indicate by proving that it is.
(a) Find the transfer function Tv(s)=V2(s)/V1(s) for the circuit below for R, which is equal 15 kΩ, and C= 100 nF. (b) Determine the DC gain, infinite-frequency gain and cutofffrequency or frequencies. Is the gain response low-pass, high-pass or band-pass?
@sync1 What is the resulting SQNR for a signal uniformly distributed on [−5, 5] when uniform?