The Fourier transform W(f) of a time domain signal w(t) is given by:
W(f) = 5.87 exp[ -( 0.047 f )2 ]
Find the imaginary part of the Fourier transform of the shifted signal w(t - 0.50) at the frequency 3.24 Hz.
The correct answer is 3.93
The Fourier transform W(f) of a time domain signal w(t) is given by: W(f) = 5.87...
Find the inverse fourier transform of the expression and sketch the time domain signal Find the inverse Fourier transform of Y(f)=4[sincʻ[(f –100)/5]+sincº [(f +100)/5]]exp(j107f) Sketch the time domain signal y(t) (qualitatively).
(a) Write an expression for the time-domain signal shown; (6) Find the Fourier transform of the signal; (c) If this signal is passed through an ideal lowpass filter with a cutoff frequency of 1 Hz, sketch the spectrum of the filter's output, including numerical labels on vertical and horizontal axes. g(t) 2 (s) Problem completed
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The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t) +j2 exp(-j10t) +3 -j2 exp^10t)+ (2-j2) expG300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t) d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part oft(t) by at least 50%. Write down its H(0) and plot its spectrum. e. Plot the spectrum...
Please solve parts d and e The exponential Fourier series of a certain periodic signal is given as f(t) (2+j2) exp(-j300t)+j2 exp(-j10t) +3 -j2 exp(j10t) + (2-j2) exp(300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(o) and...
5.1-7 Consider a bandlimited signal g1(C) whose Fourier transform is (a) If g1(t) is uniformly sampled at the rate of fs400 Hz, show the resulting spectrum of the ideally sampled signal. (b) If we attempt to reconstruct gi (t) from the samples in Part (a), what will be the recovered analog signal in both time and frequency domains? (c) Determine another analog signal G2(f) in frequency domain such that its samples at = 400 Hz will lead to the same...
(c) Determine whether the corresponding time-domain signal is (i) rea imaginary, or neither and(i) even, odd, or neither, without evaluating the inverse of the signal iii . X (ju) = u(w)-u(w-2) d) For the following signal t<-1/2 0, t + 1/2, -1/2 t 1 /2 1,t>1/2 Hint use the differntiation and integration x(t) = i. Determine X(jw). properties and the Fourier transform pair for the rectangular pulse. ii. Calculate the Fourier transfom of the even part of x(t). Is it...
The exponential Fourier series of a certain periodic signal is given as: f(t) = (2+j2) exp(-j300t) + j2 exp(-j10t) +3 - j2 exp(j10t) + (2-j2) exp(j300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal. c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(ω) and plot its...
The exponential Fourier series of a certain periodic signal is given as: f(t) = (2+j2) exp(-j300t) + j2 exp(-j10t) +3 - j2 exp(j10t) + (2-j2) exp(j300t) a. Find the compact trigonometric Fourier series of f(t). b. Find the bandwidth of the signal. c. Find the Fourier Transform of f(t). d. Design a simple low pass filter (RC circuit) that reduces the amplitude of the highest frequency part of f(t) by at least 50%. Write down its H(ω) and plot its...