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3- A signal to, is odd if x.(n) = -2.(-n). Show that for such a signal,...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
*Digital Signal Processing Question* Let x(n)=u(-n+3)-u(-n-4). Sketch the even and odd parts of x(n).
Find all integers x, and odd integers n such that, 1 + n^2 = x^3. Please give an explanation with proof thank you.
Given a discrete time signal x(n), we consider the function (assuming this is convergent for our signal x(n)). Please show that H(w) is a periodic function in w, and without any other assumption, please tell me what the period is. Then, explain that if we are given H(w), how to recover x(n). (Notice that we defined H(w) above by a linear mapping of x(n), so this means to find the inverse linear mapping of H(w) that will give you x(n).)...
Problem 3: Let x(n) be an arbitrary signal, not necessarily real valued, with Fourier transform X (w). Express the Fourier transforms of the following signals in terms of X() (C) y(n) = x(n)-x(n-1) (d) v(n) -00x(k) (e) y(n)=x(2n) (f) y n even n odd , x(n/2), (n) 0 Problem 4: etermine the signal x(n) if its Fourier transform is as given in Fig. P4.12. X(a) 0 10 10 10 X(o) 0 X(a) Figure P4.12 Problem 3: Let x(n) be an...
please 3.59. (a) Suppose x[n] is a periodic signal with period N. Show that the Fourier series coefficients of the periodic signal are periodic with period N. (b) Suppose that x() is a periodic signal with period T and Fourier series coeffi cients a with period N. Show that there must exist a periodic sequence g[n] such that (c) Can a continuous periodic signal have periodic Fourier coefficients? 3.59. (a) Suppose x[n] is a periodic signal with period N. Show...
We are given the following information about a signal x(t) a) t) is real and odd. b)x(t) is periodic with period T 2 and has Fourier coefficients a a,-0 for Ikl > 1. d) 2 Identify two possible signals that satisfy these properties.
Question 2: Consider the following DT signal: g[n] = 2 "u[-n – 3] * a[n+3], a) Find the convolution sum in the time domain (show all the necessary steps). b) Consider an LTI system with an input of x[n] and impulse response of h[n] as given below: 2, if n = -1 1, if n=0 x[n] = 3-2, if n=1 3, if n=2 -4, if n=3 3, if n = -1 1, if n=0,2 h[n] = 2, if n =...
A discrete signal x(n) is defined by ??(??) = {?? + 2 ; 0 ? ?? ? 4 2; 5 ? ?? ? 7 0; ????????????????? i. Plot the signal, ii. Obtain z transform X(z) for the signal x(n), iii. Determine the ROC for X(z).
2. Let a signal be defined as y(x) = (1 – x)2. Determine the following. (a) Is the signal even or odd or have no symmetry? (b) Find the even component of it and plot. (c) Find the odd component of it and plot.