Find the Continuous Time Fourier Series of an even continuous rectangular wave signal with peak to peak amplitude 15, Tf=100HZ, T0= 10% of Tf, average value=0 with Tf=T0
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Find the Continuous Time Fourier Series of an even continuous rectangular wave signal with peak to...
Determine the continuous time Fourier series representation of an even rectangular wave with following specifications: 1. [10] fundamental period 0.1 s peak-to-peak amplitude 5, duty cycle 10%, average value of zero.
6) If a continuous-time periodic signal has the Fourier series coefficients ak, where k = 0, +1, +2, +3,..., derive the Fourier series coefficients bk of the following signals in terms of aki a) <(-t) b) x*(t) c) x(t – t.) where t, is a constant e) (t) dt In part e), assume that the average value of x(t) is zero.
in MATLAB plot the following EXAMPLE 4.2 Fourier series of a square wave Consider the square wave of Figure 4.4. This signal is common in physical systems. For ex- ample, this signal appears in many electronic oscillators as an intermediate step in the gener ation of a sinusoid We now calculate the Fourier coefficients of the square wave. Because V, 0< t < To/2 x(t) = from (4.23), it follows that ToJTo2 To/2 - e ikast To/2 The values at...
Q. 2 A continuous time signal x(t) has the Continuous Time Fourier Transform shown in Fig 2. Xc() -80007 0 80001 2 (rad/s) Fig 2 According to the sampling theorem, find the maximum allowable sampling period T for this signal. Also plot the Fourier Transforms of the sampled signal X:(j) and X(elo). Label the resulting signals appropriately (both in frequency and amplitude axis). Assuming that the sampling period is increased 1.2 times, what is the new sampling frequency 2? What...
Find a complex Continuous Time Fourier Series (CTFS) which is valid for all time for the following signal below. Plot the magnitude and phase of the harmonic function versus harmonic number, k, then convert the answers to the trigonometric form of the harmonic function. ?(?) = ?????(??) ∗ ????(?)
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
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
Determine the Fourier series for the rectangular wave illustrated in Figure P3.28, and plot the resultsHint:The square wave of period Tis described by 3.27 Determine the Fourier series for the rectangular wave illustrated in Figure P3.28, and plot the results 2T Эт Hint: The square wave of period T is described by
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
-l 2. Consider the continuous-time signal: 0 x(t)- 1sts1 0, otherwise Find the Fourier transform X(a) of x(t). Simplify ths expression as much as po e simplest expression does not involve any complex numbers.) Draw a rough plot of o) as a function of w. Identify the peak value of X(w). Identify the location of the X( first null on either side of the vertical axis.