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ffset sawtooth wave x(t). 1-7 A binary signal x(t) = 0 for t <0. For posi-...
9. Random binary signal x(t) transmit one digit every Tb seconds. A binary bit '1, is transmitted by a rectangular pulse of width T&/2 and amplitude of 1. A binary bit 'O' is transmitted by no signal. The digits1 and '0' are equal likely and occur randomly. Determine the autocorrelation function and the power spectrum density. (20 points) 3 9. Random binary signal x(t) transmit one digit every Tb seconds. A binary bit '1, is transmitted by a rectangular pulse...
One of the most important classes of time dependent signals are periodic signals. Periodic signals satisfy tho following signal equations, x(t) X(t) x(t+nt) for n 2,3. The periodic signals to be observed in this laboratory assignment are shown below. In all the examples A represents the amplitude of the signal and may be given as the measurement from 0 to the peak value A, Apk or can be given as the measurement between A and -A which defines a peak-to-peak...
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...
Please fasttt 1 2 t 4. The following signal : x(t) -2 7 - 7 2 T 0 is supplied to the input of the causal system described by: y(t) 2 x(t) 1/s Determine the output signal. Hint: Consider using the relationship between Fourier Transform and Fourier Series. (16 points). t 1 2 t 4. The following signal : x(t) -2 7 - 7 2 T 0 is supplied to the input of the causal system described by: y(t) 2...
au. Let x(t) be a signal with x(t) =0 for t > 1 . For each signal given below, determine the values of t for which it is guaranteed to be zero (if any). (a) x(1-t) (d) x(3t) (b) x(1 -t) +x(2-t) (e) x(u3) (c) x(1-t)x(2-1) Solution:
a). how many cycles are there in 1 second of the signal x(t)= cos(2pi100t) ? b). what is the time duration in seconds of 20 cycles of the signal x(t)= cos(2pi50t)? please give answer in the format ##.## c). what is the highest frequency , in the signal x(t)= cos(2pi50t)+sin(2pi10t)?
A wave is modeled with the function y ( x , t ) = 0 . 2 5 cos ( 0 . 3 0 x − 0 . 9 0 t + π/ 3 ) where all lengths are in meters and all times in seconds. a. Find the wavelength of the wave. b. Find the period of the wave. c. Find the wave speed (a positive number). d. What is the instantaneous velocity of one of the particles that...
No mathematical expression for x(t). Problem 2: A message signal x(t), is illustrated in the graphs below x(t) 1.5 1 0.5 -1 3 -0.5 1 -1.5 Time (s) 2 1 -45 -30 -15 0 15 Frequency (kHz) This signal is applied to a Narrow Band FM generator as shown below; x(t) Ф. (t) NBFM 5.60 MHz. anda frequency deviation The NBFM Signal p(t) has a center frequency f Afi 2.4 kHz - A. Sketch the time-domain signal p1(t) using the...
3. The system represented by the block diagram below modulates the message signal x(t) with a carrier wave c(t) to yield -(). The signal y(t) is generated by multiplying z() by the carrier wave c(t). c(t) c(t) y(t) z(t) The output signal,y(t), can be written as y(t)-C() × X() x C(t). Using the properties of a) Fourier Transforms, write Yi) in terms of Cjo) and Yj). [2 points] The Fourier Transform of x(t) is illustrated below. 0.9 0.8 0.7 0.6...
A transverse wave on a string is described by the wave function y(x, t) = 0.334 sin(1.60x + 86.0t) where x and y are in meters and t is in seconds. Consider the element of the string at x = 0. (a) What is the time interval between the first two instants when this element has a position of y = 0.175 m? (b) What distance does the wave travel during the time interval found in part (a)?