Find the Fourier coefficients of the following signal. x(t) = 5 + 2sin(w0.t) + cos(2.w0.t) -...

Find the Fourier coefficients of the following signal.

x(t) = 5 + 2sin(w0.t) + cos(2.w0.t) - 3sin(2.w0.t)

Expert Solution

sorry for the strikeouts/overwritings.

where the Fourier coefficients are a_0,a_n,b_n.

Colby Messinger answered 9 months ago

. Given the following non-periodic signal: x(t) = 3 e-5t cos(12t) u(t) Find the Fourier...

. Given the following non-periodic signal: x(t) = 3 e-5t cos(12t) u(t) Find the Fourier transform expression X(ω) without using Table. Calculate the magnitude spectrum of X(ω) for ω = π/8, π/4, and π/2

Given a sinusoidal signal: x(t) = Asin(2πft) Find Fourier Transform (FT) of the sinusoidal x(t) given...

Given a sinusoidal signal: x(t) = Asin(2πft) Find Fourier Transform (FT) of the sinusoidal x(t) given above and plot the spectrum with: a. A = 2, f = 1000Hz b. A = 2, f = 9000Hz c. A = 5, f = 1000Hz d. A = 10, f = 10000Hz

Using Matlab Simulink, find Fourier transform of the following signal; ?(?) = 2 + ∑ 1...

Using Matlab Simulink, find Fourier transform of the following signal; ?(?) = 2 + ∑ 1 ? sin (20???) 4 ?=1 . Set simulation stop time = 20 seconds, sample time = (1/1024) seconds, buffer size =1024, and frequency range in Hz for the vector scope is −100 ≤ ? ≤ 100

One period of a real-time signal x(t) =2Sin(20pit) , starting at t=0, has to be processed...

One period of a real-time signal x(t) =2Sin(20*pi*t) , starting at t=0, has to be processed in a 4-bit digital computer. The A/D card have a sampling frequency of 55Hz and the input range is +/- 2Volts. i) What are the values recorded in the sampled signal x[n] ? ii)What is the resulting quantized signal? iii)What is the resulting digitized/coded signal? iv)If the sampled signal x[n] was filtered using a moving average filter of length 3 , what would the...

Based on fourier series Q1: how to determine if a signal function x(t) is periodic and...

Based on fourier series Q1: how to determine if a signal function x(t) is periodic and ac. And what happens if there is x(t) = sint + cost + sint? How would we know if ac/periodic? Q2: What is fourier series and fourier coefficients? Q3: What is Fourier Trigonometric Series?

Consider the following periodic signal : x(t)=∑∞n=−∞Π(t−4n2). 1. Determine and plot the spectrum Fourier Transform of...

Consider the following periodic signal : x(t)=∑∞n=−∞Π(t−4n2). 1. Determine and plot the spectrum Fourier Transform of signal x(t) ( For plot : Use only interval n=-2 to n=2). 2. Based on the result obtained in part one. Determine Complex Exponential Fourier Series, and trigonometric Fourier Series. 3. Evaluate the energy spectral density of the periodic signal x(t) in rang (n=-2 to n=2)

use matlab y(t)=10(cos(2pi500t)+cos(2pi1000t)+ cos(2pi1500t)). e) Down sample y(t) by a factor of 6. Sketch the Fourier...

use matlab y(t)=10*(cos(2*pi*500*t)+cos(2*pi*1000*t)+ cos(2*pi*1500*t)). e) Down sample y(t) by a factor of 6. Sketch the Fourier transform with appropriate frequency axis. Check if all frequency components are correct? Up-sample the time-domain signal obtained in e) by a factor of 6. Use appropriate filter for interpolation. Sketch the Fourier transform of the up-sampled and filtered signal. Does the resulting signal show all frequency components of the original signal y(t)?

use matlab y(t)=10(cos(2pi500t)+cos(2pi1000t)+ cos(2pi1500t)). e) Down sample y(t) by a factor of 6. Sketch the Fourier...

use matlab y(t)=10*(cos(2*pi*500*t)+cos(2*pi*1000*t)+ cos(2*pi*1500*t)). e) Down sample y(t) by a factor of 6. Sketch the Fourier transform with appropriate frequency axis. Check if all frequency components are correct? Up-sample the time-domain signal obtained in e) by a factor of 6. Use appropriate filter for interpolation. Sketch the Fourier transform of the up-sampled and filtered signal. Does the resulting signal show all frequency components of the original signal y(t)?

Find the Fourier series of the following functions f(x) = sinx+x^2+x, −2 < x < 2

Use the Method of Undetermined Coefficients to find the general solution 1) y''-3y'+2=cos(x) 2) y''-3y'+2=xe^x

Question

Find the Fourier coefficients of the following signal. x(t) = 5 + 2sin(w0.t) + cos(2.w0.t) -...

Solutions

Expert Solution

Related Solutions

. Given the following non-periodic signal: x(t) = 3 e-5t cos(12t) u(t) Find the Fourier...

Given a sinusoidal signal: x(t) = Asin(2πft) Find Fourier Transform (FT) of the sinusoidal x(t) given...

Using Matlab Simulink, find Fourier transform of the following signal; ?(?) = 2 + ∑ 1...

One period of a real-time signal x(t) =2Sin(20pit) , starting at t=0, has to be processed...

Based on fourier series Q1: how to determine if a signal function x(t) is periodic and...

Consider the following periodic signal : x(t)=∑∞n=−∞Π(t−4n2). 1. Determine and plot the spectrum Fourier Transform of...

use matlab y(t)=10(cos(2pi500t)+cos(2pi1000t)+ cos(2pi1500t)). e) Down sample y(t) by a factor of 6. Sketch the Fourier...

use matlab y(t)=10(cos(2pi500t)+cos(2pi1000t)+ cos(2pi1500t)). e) Down sample y(t) by a factor of 6. Sketch the Fourier...

Find the Fourier series of the following functions f(x) = sinx+x^2+x, −2 < x < 2

Use the Method of Undetermined Coefficients to find the general solution 1) y''-3y'+2=cos(x) 2) y''-3y'+2=xe^x