Homework Answers
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0) 6. Signal x()- exp(-t) u() and signal ho) is as sh...
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewher...
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence representation. (c) In terms of the unit sample function, δ[n], unit step function, u[n], and the unit ramp function, r[n].
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence...
Express f in terms of unit step functions. fo) 1- 3 t-(t-1)2(t-1)-T(t-4) O t2(t-4) O t-1+...
Express f in terms of unit step functions. fo) 1- 3 t-(t-1)2(t-1)-T(t-4) O t2(t-4) O t-1+ (t-4) O ti(t-1) _ (t-1)- (t-4) Find f(t) and Xset f(t). (Enter your answer in terms of s.) Xiet f(t))
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is...
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be ab...
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
(1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit...
(1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions u(t - a) f(t) = tu(t-2)+u(t-4)-u(t-8) Now find the Laplace transform F(s) of f(t) F(s)
18. (1 point) The graph of f(t) is given above Express f(t) in terms of shifted...
18. (1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions ut -a) Now find the Laplace transform F(s) of f(t). F(s) =
Problem 1. (15 points each) For the signal f (t) f(t) 3 2 せ - 1...
Problem 1. (15 points each) For the signal f (t) f(t) 3 2 せ - 1 2 3 a) Describe signal f (t) in a compact form by using unit step functions b) Find and sketch(t) dt
1. For the function (t) below, T 2 and Vm-100 V. vt) 3 2 012 3...
1. For the function (t) below, T 2 and Vm-100 V. vt) 3 2 012 3 (a) Sketch v'(t) and derive the Fourier coefficients for '(t). (b) Use your results from part (a) to determine for Fourier coefficients for v(t). Express your solution in the complex form of the Fourier series, nugt and verify your solution by plotting your results using Matlab. 2. Assume that the signal above is the input to the bandpass filter shown below. y (t (a)...
1. Determine if v(t) = t^2 (t-squared) is an even or odd function. Show your proof....
1. Determine if v(t) = t^2 (t-squared) is an even or odd function. Show your proof. 2. Determine if v(t) = t^2 (t-squared) is an even or odd function. Show your proof. 3.A sinusoidal signal has a period of 10 ms. What is the angular frequency? 4.A sinusoidal signal has a period of 10 ms. What is the angular frequency?
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
6. Signal x()- exp(-t) u() and signal ho) is as shown. (a) Express h(t) in terms of ramp functions only 2 O2 3 4 (b) Find y(t) x(t)*h(t) 0)
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence representation. (c) In terms of the unit sample function, δ[n], unit step function, u[n], and the unit ramp function, r[n].
Digital Signal Processing (EEC 4963) Assignment 1 Discrete-Time Signals Express the signal 1. 1, 3sns-1 71 elsewhere 0, using each of the following representation methods (a) Graphical representation. (b) Sequence...
Express f in terms of unit step functions. fo) 1- 3 t-(t-1)2(t-1)-T(t-4) O t2(t-4) O t-1+ (t-4) O ti(t-1) _ (t-1)- (t-4) Find f(t) and Xset f(t). (Enter your answer in terms of s.) Xiet f(t))
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks
A signal f(t) sinc (200 t) is sampled by periodic pulse train pr(t) resented in Fig. P5.1-6. Find and sketch the spectrum of the sampled signal. Explain if you 0.8 ms 4 ms 8 ms Fig. P5.1-6 will be able to reconstruct f(t) from these samples. If the sampled signal is passed through an ideal lowpass filter of bandwidth 100 Hz and unit gain, find the filter output. What is the filter output if its bandwidth is B Hz, where...
(1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions u(t - a) f(t) = tu(t-2)+u(t-4)-u(t-8) Now find the Laplace transform F(s) of f(t) F(s)
18. (1 point) The graph of f(t) is given above Express f(t) in terms of shifted unit step functions ut -a) Now find the Laplace transform F(s) of f(t). F(s) =
Problem 1. (15 points each) For the signal f (t) f(t) 3 2 せ - 1 2 3 a) Describe signal f (t) in a compact form by using unit step functions b) Find and sketch(t) dt
1. For the function (t) below, T 2 and Vm-100 V. vt) 3 2 012 3 (a) Sketch v'(t) and derive the Fourier coefficients for '(t). (b) Use your results from part (a) to determine for Fourier coefficients for v(t). Express your solution in the complex form of the Fourier series, nugt and verify your solution by plotting your results using Matlab. 2. Assume that the signal above is the input to the bandpass filter shown below. y (t (a)...
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