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Consider the cascade of LTI discrete-time systems shown in Figure P2.37. LTI System 1 hi[n], H...
Problem 3) Two discrete-time LTI systems are connected in cascade. The first system is defined by its frequency response: H(e-1+and the second system is (a) Determine the frequency response for the overall cascade system. Simplify your (c) Write down the difference equation that relates the output y[n] to the input x[n]. defined by its impulse response: hln]-n-n-+n-2]-n-3] answer as far as possible. (b) Determine and plot the impulse response h[n] for the overall cascade system.
The diagram in Fig. 1 depicts a cascade connection of two linear time-invariant systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. LTI System #1 hi[n] LTI System #2 h21n] r[n] iIn] yInl Figure 1: Cascade connection of two LTI systems (a) Suppose that System #l is a blurring filter described by the impulse response 0 "=0.1.2.3.4.5 n>5 and System #2 is described...
What is the answer of following question? Consider the cascade of a LTI system witlh impulse response h()-"u() ith the LTI system whose impulse response is h2 () ao(t) where δ(1) φ . Find the overall impulse response.
(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 7.3*: The diagram in Fig. 2 depicts a cascade connection of two linear time-invariant (LTI) systems; i.e., the output of the first system is the input to the second system, and the overall output is the output of the second system. [n] yi[n] y[n] LTI System #1 hin] LTI System #2 h2[1] Figure 2: Cascade connection of two LTI systems. (a) Suppose that System #1 is a "blurring" filter described by the following equation y1 [n] =arn-k] k=0 and...
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] +...
Discrete-time convolution. Use of shift invariance for LTI systems. A discrete-time LTI system is described the its impulse response h[n]. h[n] = (5)"u[n]. n-3 1 An input x[n] = u[n – 4) is applied. The output of the system y[n] is given by: x[r] – 54 G)" ()") un 14 The correct answer is not provided gắn] = [16(5)” – 54(5) ] n] y[n] = [16()" – 54(+)"] uſn – 4
BC:9.4 A LTI discrete time system has an impulse response h[n] = (−0.6)nu[n] + (0.95)nu[n − 1] Find the transfer function, Hˆ (e jωˆ ), in the normalized frequency domain. Use Matlab to plot the magnitude and phase (in degrees) of Hˆ (e jωˆ ) in the range of −π ≤ ωˆ ≤ π. Attach your Matlab source code with the plots. BC:9.4 A LTI discrete time system has an impulse response h[n] = (-0.6)"u[n] + (0.95)"u[n-1] Find the transfer...
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).
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].