Using appropriate illustrations, explain basic concept and development of signal
using Fourier series.
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Using appropriate illustrations, explain basic concept and development of signal using Fourier series.
Question 3 Soalan 31 (a) Using appropriate illustrations, explain basic concept and development of signal using Fourier series. Dengan menggunakan illustrasi-ilustrasi yang sesuai, terangkan konsep dan pembangunan asas isyarat menggunakan sivi Fourier (4 Marks/ Markah) (b) Given: Diberikan:) x(0) = 2 + cos (7)e+ tsineze Identify the fundamental radian frequency, w, and the Fourier series coefficients (X[k]). Kenalpasti frekuensi radian asas, w dan pekali-pekali siri Fourier (X[k]. (6 Marks/ Markah) (c) A square wave function is shown in Figure 4....
Given the Fourier Series cocfficients and fundamental frequency, find the signal using the Fourier Series synthesis exquation. Assume all Ce not given are vero.) Put into cosine form where possible and state whether the signal is real-valued. (a) Lo - 8, C, EC-2- 3j, C% = e-j/4, C-6 - CT/4 (b) wo = 1/2, Co = 3, G = -2, C-1 = 2, C1 = 1, C-1 = -3
find the Fourier series of the following signal -6 Find the Fourier series of the following signal? I 2 o 46
For the periodic signal below, find the compact trigonometric fourier series and sketch the amplitude and phase spectra. If either the sine or cosine terms are absent in the Fourier series, explain why. Please provide a detailed solution. Thanks! For the periodi the amplitude and phase spectra. If either the sine or cosine terms a series, explain why 6.1-1. c signal shown below, find the compact trigonometric Fourier series and sketch re absent in the Fourier b) -20
If you were using the Fourier Series coefficient c_k to determine if an anomalous signal is present, what characteristics (amplitude, frequency, time-shift) make it easier to detect? In other words, is it easier to detect an anomalous signal that is large in amplitude, but at the same frequency and zero time shift? Or is it easier to detect an anomalous signal that is small in amplitude and at a different frequency? Or… Which coefficient would you use? Or would you...
If you were using the Fourier Series coefficient c_k to determine if an anomalous signal is present, what characteristics (amplitude, frequency, time-shift) make it easier to detect? In other words, is it easier to detect an anomalous signal that is large in amplitude, but at the same frequency and zero time shift? Or is it easier to detect an anomalous signal that is small in amplitude and at a different frequency? Or… Which coefficient would you use? Or would you...
Problem 2: For the signal given below (Figure 2), find the Fourier series approximation and write out the first 5 terms of the series. Amplitude [V] Time (sec) Figure 2: Signal to be approximated using a Fourier series
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message as given in equation: s(t) Ae[1 + m (cos w,t + cos2m t)] cos at, P2. From the result in question Pl give an expression for the AM signal s(t) as the real part of complex exponentials Sketch a rotating phasor diagram for s(t) using the carrier frequency as a reference Р3. Write down the Fourier transform of s(t) in question P1. Sketch the...
P1 Using trigonometry write down a Fourier series representation for the AM signal with a message as given in equation: s(t) Ae[1 + m (cos w,t + cos2m t)] cos at, P2. From the result in question Pl give an expression for the AM signal s(t) as the real part of complex exponentials Sketch a rotating phasor diagram for s(t) using the carrier frequency as a reference Р3. Write down the Fourier transform of s(t) in question P1. Sketch the...
Prob. 2 Discrete-Time Fourier Series (DTFs) (a) A periodic signal, rin] is shown below. Use the analysis equation to determine the discrete-time Fourier Series (DTFS) coefficients, a. Express the a in terms of cosines [72] -2 N= -3 (b) Sketch the spectrum, as vs. k for -5Sk s5. Please note each value. ak 2 5 Prob. 2 (cont.) -Discrete-Time Fourier Series (CTFS) (c) A periodic signal rafnl is given below. a2In] 2 1 E -3 what is the fundamental period...