Use direct integration to find the Fourier transform G(f ) of
signal
g(t) = exp (-2|t −3|).
Use direct integration to find the Fourier transform G(f ) of signal g(t) = exp (-2|t...
8. (a) Find the Fourier transform of the signal by direct integration. f(t) = ((t-5)+e-Y(-5))u(t-5) (5 points) (b) Use the convolution theorem of Fourier transform, find the convolution of the following signals: (5 points) x(t) = 5e-4tu(t) and h(t) = 7e-3tu(t)
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...
3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal x(t) is X(f) - rect(f/ 2), find the Fourier Transform of the following signals using properties of the Fourier Transform: (a) d(t) -x(t - 2) (d) h(t) = t x( t ) (e) p(t) = x( 2 t ) (f) g(t)-x( t ) cos(2π) (g) s(t) = x2(t ) (h)p()-x(1)* x(t) (convolution) 3) (Fourier Transforms Using Properties) - Given that the Fourier Transform of a signal...
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...
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 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...
g(t) Given the signal g(t) = cos(t)), (1) Using the frequency-shifting property, find Fourier Transform G(f)in "sinc" format. (2) Find the Energy Spectrum Density (ESD): Sgf) = 1G(f)12 (3) Find and sketch the Autocorrelation R,(t) by Wiener-Khintchine Theorem. -210 210
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).