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3. A property of the DTFT is that the DC value (0) of the DTFT is...
Lab #2 Discrete-time Fourier Transform (DTFT) OBJECTIVES: • Explore the DTFT, its meanings and concepts. •...
Lab #2 Discrete-time Fourier Transform (DTFT) OBJECTIVES: • Explore the DTFT, its meanings and concepts. • Get acquainted with Matlab/Octave 1) Start MATLAB and change the “Current Directory” in the top of the window (or type) >> cd '' (example: >> cd 'C:\NIU\lab2') Alternatively, if you don't want to use MATLAB, you can open a web-browser and go to “octave-online.net”. 2) Download and execute LAB2forStudent_A.M with >> lab2forStudent_A and observe that it produces a Discrete-Time (DT) signal xVec. 3) TO...
I am confused as to some properties of solving for DFT and DTFT. I am given...
I am confused as to some properties of solving for DFT and DTFT. I am given a series of x[n] values and have to determine the X[k]. The formula for R[k] is sum[x(n)cos(2pi*k*n/N)], which make sense. However, when I plug the values (1, -1, 1, -1) into the equation, I get zeros across the board. Matlab tell me that at k=2, R[2] should be 4, but the only way that make sense is if the summation is an alternating series....
Problem 4 Let x(t) be a continuous time signal whose Fourier transform has the property that Xe(ja)0 for lal 2 2,00...
Problem 4 Let x(t) be a continuous time signal whose Fourier transform has the property that Xe(ja)0 for lal 2 2,000. A discrete time signal aIn]x(n(0.5x 10-3)) is obtained. For each of the following constra ints on Xa(e/n), the Fourier transform of xaln], determine the coresponding constraint on Xe(ja) a) X(en) is real b) The maximum value of X4 (ea) over all is 1 c) Xa(ea)= Xa(e/ a-)
Problem 4 Let x(t) be a continuous time signal whose Fourier transform...
Problem 6. (Mean Value Property) Let f : RR be a function with continuous second derivative. (a) Suppose f"( to f(...
Problem 6. (Mean Value Property) Let f : RR be a function with continuous second derivative. (a) Suppose f"( to f( ). 0 for all r E IR. P al rove that the average value of f on the interval a, bs equ f, onla b is equal tore !) Prove intervals la, b, the average。 (b) (Braus) Supposeerall Hint: To prove the second part, try to use the fundamental theorem of calculus or Jensen's inequality.
Problem 6. (Mean Value...
Problem 6. (Mean Value Property) Let f : RR be a function with continuous second derivative. (a) Suppose f"( to f(...
Problem 6. (Mean Value Property) Let f : RR be a function with continuous second derivative. (a) Suppose f"( to f( ). 0 for all r E IR. P al rove that the average value of f on the interval a, bs equ f, onla b is equal tore !) Prove intervals la, b, the average。 (b) (Braus) Supposeerall Hint: To prove the second part, try to use the fundamental theorem of calculus or Jensen's inequality.
Problem 6. (Mean Value...
3. Problem 3 [Impulse). One of the most important digital signals is the so-called unit impulse...
3. Problem 3 [Impulse). One of the most important digital signals is the so-called unit impulse sequence, which is a discrete time function whose sample is equal to zero for all values of the time index n except n = 0, where it has unity value, that is, Ji, n=0, 8[n] = 0, n+0. Page 6 (a) (2 points) Draw a graphical representation of the signal 8[n]. The horizontal axis should indicate the time-index value n = ..., -2,-1,0,1,2,... and...
3. In Figure 3, the DC operating point for BJT Q, is Ici = 170 uA...
3. In Figure 3, the DC operating point for BJT Q, is Ici = 170 uA and VCE = 4 V, and the DC operating point for BJT 02 is Ic2 = 240 A and VCE2 = 3 V. Both Q1 and Q2 have B = 100, VA-75 V at the room temperature. Assume that all the capacitors have infinite values, and all the resistors have the values as indicated in Figure 3. (a) (b) Determine the voltage gain 4....
3. Draw below the schematic of a DC supply which has input of 120 VRMS, 60...
3. Draw below the schematic of a DC supply which has input of 120 VRMS, 60 Hz, and an output of 7V DC. Use an LM317 regulator. Show all part values, and your equations that prove the output is 7VDC. Show all pin connections on the LM317.
1. A series Can has the property that lim on = 0. Which of the following...
1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal a [n] is passed (ii) Consider a signal In] whose DTFT is given by X(es*). What is the DTFT of ii) Suppose hi [n] is the impulse response of an ideal lowpass filter. Which of the options through the system, what is the output, written as a function of rn]? y[n] = x[n-3), written as a function of X(eM)? below is the impulse response...
Problem 4 Let x(t) be a continuous time signal whose Fourier transform has the property that Xe(ja)0 for lal 2 2,000. A discrete time signal aIn]x(n(0.5x 10-3)) is obtained. For each of the following constra ints on Xa(e/n), the Fourier transform of xaln], determine the coresponding constraint on Xe(ja) a) X(en) is real b) The maximum value of X4 (ea) over all is 1 c) Xa(ea)= Xa(e/ a-)
Problem 4 Let x(t) be a continuous time signal whose Fourier transform...
Problem 6. (Mean Value Property) Let f : RR be a function with continuous second derivative. (a) Suppose f"( to f( ). 0 for all r E IR. P al rove that the average value of f on the interval a, bs equ f, onla b is equal tore !) Prove intervals la, b, the average。 (b) (Braus) Supposeerall Hint: To prove the second part, try to use the fundamental theorem of calculus or Jensen's inequality.
Problem 6. (Mean Value...
Problem 6. (Mean Value Property) Let f : RR be a function with continuous second derivative. (a) Suppose f"( to f( ). 0 for all r E IR. P al rove that the average value of f on the interval a, bs equ f, onla b is equal tore !) Prove intervals la, b, the average。 (b) (Braus) Supposeerall Hint: To prove the second part, try to use the fundamental theorem of calculus or Jensen's inequality.
Problem 6. (Mean Value...
3. Problem 3 [Impulse). One of the most important digital signals is the so-called unit impulse sequence, which is a discrete time function whose sample is equal to zero for all values of the time index n except n = 0, where it has unity value, that is, Ji, n=0, 8[n] = 0, n+0. Page 6 (a) (2 points) Draw a graphical representation of the signal 8[n]. The horizontal axis should indicate the time-index value n = ..., -2,-1,0,1,2,... and...
3. In Figure 3, the DC operating point for BJT Q, is Ici = 170 uA and VCE = 4 V, and the DC operating point for BJT 02 is Ic2 = 240 A and VCE2 = 3 V. Both Q1 and Q2 have B = 100, VA-75 V at the room temperature. Assume that all the capacitors have infinite values, and all the resistors have the values as indicated in Figure 3. (a) (b) Determine the voltage gain 4....
1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal a [n] is passed (ii) Consider a signal In] whose DTFT is given by X(es*). What is the DTFT of ii) Suppose hi [n] is the impulse response of an ideal lowpass filter. Which of the options through the system, what is the output, written as a function of rn]? y[n] = x[n-3), written as a function of X(eM)? below is the impulse response...
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