Problem 6 (25 points) For any discrete signal x[n], input to the system given in Figure...
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the answer below. The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the...
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the answer below.
Consider the cascade of LTI discrete-time systems shown in Figure P2.37. LTI System 1 hi[n], H (el) LTI System 2 h2[n], H2(eje) Figure P2.37 The first system is described by the frequency response Hi(j =c-joo < 0.25% 11 0.25% < and the second system is described by <A hain) = 2 Sin(0.57) (a) Determine an equation that defines the frequency response, H(e)®), of the overall system over the range -- SUSA. (b) Sketch the magnitude. He"), and the phase, ZH(e)),...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
Problem 3. Discovering the System from the Output. 25 points. x[n] yln] Figure 2: A cascade of two LTI systems. yIn] 2 2 -6-5-4-3 4 5 6 7 Figure 3: The system output y[n] (a) 20 points. Consider the system in Figure 2 which is a cascade of two LTI systems, with hn n]26[n 1]. For input signal [n]-6[n] 1+n -1], the output y[n] appears in Figure 3. Determine the impulse response h2[n].
Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
6) Consider a discrete-time LTI system with impulse response h[n] = response h[n] = ( 1) u[n]. Use Fourie transforms to determine the response of this system to the input x[n] = ml + un).
Problem 1 You are given the discrete-time LTI system with impulse response, Calculate the Fourier series coefficients of the output of this system when the input is x[n] = cos(n+π) Problem 1 You are given the discrete-time LTI system with impulse response, Calculate the Fourier series coefficients of the output of this system when the input is x[n] = cos(n+π)
Q2. The block diagram of an LTI system is given below. x[n] - h[n] = a[n+ 2] - a[n - 2] h2[n] = 8[n - 1] y[n] a) Represent the overall impulse response h[n] in terms of hi[n] and h2[n]. b) If the input is x[n] = 8[n], sketch y[n]. c) If the input is x[n] = u(n + 1] - u[n -2], sketch y[n].
Problem 5.3 (20 Points) A discrete-time, linear time-invariant system H is formed by ar- ranging three individual LTI systems as shown below. LTI LII System 1 System 2 n] > >yn] ATI System 3 Figure 2: The cascaded LTI system H. The frequency response of the individual system H, is as follows: H2 : H el) = -1 + 2e- ja The impulse response of the other individual systems are as follows: Huhn = 0[n] - [n - 1] +...