The value of response of system shown above
Recall the definition sinc(x) := sin(+2) for 3 ER Suppose a system's impulse response is given...
9-5. Given: an ideal digital BPF has impulse response h(n) = z sinc(n) - sinc(n). What is its output signal when the input signal is the sequence cos(2n)?
Given LTI system with following input response (can use properties of the Fourier transform like, sinc(x) = sin(πx)/πx ): h(t) = 8/π sinc(8t/π) where input x(t) of the LTI system is the following continuous-time signal x(t) = cos(t) cos(8t) a) find the Fourier transform of x(t) b) find the Fourier transform of h(t) c) Is this LTI system BIBO stable? Prove d) find the output y(t) of the LTI system
3-(10 points) Consider a C-T. LTI system given below X(t) - h(t) y(t) The impulse response is h(t)=sinc(200t). We apply an input signal x(t)=sinc(100t) to produce the output y(t). Find and plot Y(m). Find y(t).
Please, Write so that I can recognize.
4.18 An LTI system has the impulse response sin(2mt) h(t) 2 cos(7t) t Use the FT to determine the system output if the input is (a) x(t) cos(2 t)sin(6rt) t 7 1 -1 8 (a) 00 T
4.18 An LTI system has the impulse response sin(2mt) h(t) 2 cos(7t) t Use the FT to determine the system output if the input is (a) x(t) cos(2 t)sin(6rt)
t 7 1 -1 8 (a) 00...
3. (20 points) A system has an impulse response given by h (t) sin (2t) rt (a) Find the frequency response function of this system H (w). (b) Find the frequency domain output Y (w) if the input to the system is z (t) cos (3t).
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
pls show all work thanks
4. If the signal X(t) = cos(0) + cos(26) + cos (46) is the input to an LTI system whose impulse response is n(t) sinc(30) sincet), what will be the output signal y() in response to this input?
k2 k -oo \11,18 Consider an LTID system with the following impulse response: h[k sinc(3k/4). Determine the output responses of the LTID system for the following input's: Kix[k] = cos(117k/16) cos(37 k/16); (ii) x[k] k 0 k<5 for and x[k6] x[k]; 1 (0<k<2) 0.5 (3 k< 5) (iii) x[k]= xlk +91-xkl and
k2 k -oo \11,18 Consider an LTID system with the following impulse response: h[k sinc(3k/4). Determine the output responses of the LTID system for the following input's: Kix[k]...
solve all
22. The input-output relationship for a linear, time-invariant system is described by differential equation y") +5y'()+6y(1)=2x'()+x(1) This system is excited from rest by a unit-strength impulse, i.e., X(t) = 8(t). Find the corresponding response y(t) using Fourier transform methods. 23. A signal x(1) = 2 + cos (215001)+cos (210001)+cos (2.15001). a) Sketch the Fourier transform X b) Signal x() is input to a filter with impulse response (1) given below. In each case, sketch the associated frequency response...
Problem 2 Consider a continuous-time LTI system whose frequency response is given by 2 sin(40 (a) Find the impulse response, h(t) of the system (b) Determine the outputy() =x(t)*h(t) of the system given an input x(f)--1, ț < 8 4 otherwise 0,