![5. A DT system having input x[n] and output yIn] is described by the difference equation J?nJ 0.8 IJln 2] x[n]-0.75x(n-l]. Assuming that x[n]-n(0.75) u[n], use transfomn methods to determine the output y[n]. The property of DTFTs glnl Lm?G(e?) then > / G(er) should help in obtaining the DTFT of the input. (20 pts.) ds2](http://img.homeworklib.com/questions/fe33e1a0-bf8b-11ea-ad58-7dc50afdb2f4.png?x-oss-process=image/resize,w_560)
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5. A DT system having input x[n] and output yIn] is described by the difference equation...
Consider a DT system with input x[n] and output y[n] described by the difference equation 4y[n+1]...
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
Determine and plot the output response of a DT system described by the difference equation if...
Determine and plot the output response of a DT system described by the difference equation if the input is given as x[n]= δ[n-1].
(d) [5] The input-output relation for DT system is described by following system equation y[n] =...
(d) [5] The input-output relation for DT system is described by following system equation y[n] = 31[] State if the system possesses the following properties: Linear BIBO-Stable Casual Memoryless Time-Invariance
Consider the DT LTI system defined by the mpulse response h[n] = ?[n] The input to...
Consider the DT LTI system defined by the mpulse response h[n] = ?[n] The input to this system is the signal rn: ?[n-1) (a) Sketch h[n] and r[n] (b) Determine the output of the systern, ylnj, using convolution. Sketch y[n] (c) Determine the DTFTs H(e) and X(e. Make fully-labeled sketches of the magni- tudes of these DTFTs (d) Recall that the discrete Fourier transform (DFT) is simply defined as samples of the discrete-time Fourier transform (DTFT). Compute the 4-point (N-4)...
Consider a DT system with input.xin] and output (n] described by the difference equation (a) What...
Consider a DT system with input.xin] and output (n] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response h[n].
(Convolution DT) consider the following LTI system with input x[n] and output y[n]: (a) sketchbthe input...
(Convolution DT) consider the following LTI system with input x[n] and output y[n]: (a) sketchbthe input signal x[n] = (1/2)^n(u[n])
A CT system having input x(t) and output y(t) is described in terms of its impulse...
A CT system having input x(t) and output y(t) is described in terms of its impulse response (t-1-1/2 h(t,0) e, where I is a positive finite real number. Determine the output T/2 y(t) when x(n)=rect( )
Let a DT system described by the following difference equation: y[n]-5/6y[n-1]-1/6y[n-2]=1/6x[n-1] Find the zero input and...
Let a DT system described by the following difference equation: y[n]-5/6y[n-1]-1/6y[n-2]=1/6x[n-1] Find the zero input and zero state responses of this system for n≥0 assuming that the input s x[n]=2^nu[n] and the initial conditions y[-1]=1 and y[-2]=2.
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n]...
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for inpu...
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
Determine and plot the output response of a DT system described by the difference equation if the input is given as x[n]= δ[n-1].
(d) [5] The input-output relation for DT system is described by following system equation y[n] = 31[] State if the system possesses the following properties: Linear BIBO-Stable Casual Memoryless Time-Invariance
Consider the DT LTI system defined by the mpulse response h[n] = ?[n] The input to this system is the signal rn: ?[n-1) (a) Sketch h[n] and r[n] (b) Determine the output of the systern, ylnj, using convolution. Sketch y[n] (c) Determine the DTFTs H(e) and X(e. Make fully-labeled sketches of the magni- tudes of these DTFTs (d) Recall that the discrete Fourier transform (DFT) is simply defined as samples of the discrete-time Fourier transform (DTFT). Compute the 4-point (N-4)...
Consider a DT system with input.xin] and output (n] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response h[n].
A CT system having input x(t) and output y(t) is described in terms of its impulse response (t-1-1/2 h(t,0) e, where I is a positive finite real number. Determine the output T/2 y(t) when x(n)=rect( )
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
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