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find and draw 437EE-3 Deadline: 16/6/2019 11:59PM HW 1 -4 sns4 is given; A signal x[n]...
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and...
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and the rms value of the signal belo a) x(-4) b)x(-t) c) x(2-4) 3) for the signal x(t) shown below, sketch the signals b) (-4)[u(t-2)-(-4)] 4) sketch the following signals a) uſt-5) - ult-7) 5) Simplify the following expressions: (a) (2+2) (1) (+3)sw) (c) le='cos (31 – 60°)80) () (sin ka ) s() 6) Evaluate the following integrals: (a) , 8(7)x(1 – t)dt (b) *()8(1-1)dt...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Discrete-time signal. Question is regarding Signals and Systems. Find the fundamental period of each these functions....
Discrete-time signal. Question is regarding Signals and Systems. Find the fundamental period of each these functions. (a) g[n]=cos(27n/10) (b) g[n] = cos(in/10)= cos(2īn/20) (c) g[n] = cos(2n/5)+cos(2 ron /7) (d) g[n]=ej 2an/20 +ej27n/20 (e) g[n]=e+j27n/3 + ej27n/4 (f) g[n]=sin(1310n/8) –cos(97n/6)=sin(2x1310n/16) -cos (2x3mn/4) (8) g[n]=e367n/21 + cos(22n/36)– sin(11ăn/33)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n]...
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Problem 5. Determine the z-transform of the signal x[n] :=(-1)"nu[n]. You may use already known z-transforms,...
Problem 5. Determine the z-transform of the signal x[n] :=(-1)"nu[n]. You may use already known z-transforms, such as those listed in Table 5.1 (page 492) of the textbook, and properties of the z-transform. Moreover, notice that -1 = ejt. TABLE 5.1 Select (Unilateral) Z-Transform Pairs x[n] X[z] 8[n-k] ? 2-1 ոս[ո] (z - 1) z(z+1) (2-1)3 nºu[n] nu[n] z(z? + 4z +1) (2-1) Yºu[n] yn-u[n- 1] z-y 12 ny"u[n] (z-7) yz(z+y) (z-7)3 ny"u[n] n(n - 1)(n-2) (n-m+1) ym! lyl" cos...
Problem 3.) Find and plot X(w) and X(w), the magnitude and DTFT for the signal x[n]...
Problem 3.) Find and plot X(w) and X(w), the magnitude and DTFT for the signal x[n] given by a) b) x[n]= cos(-n) x[n]-(-1)" (a)"u[n] for 0< a〈 1
determine and draw the signal flow graph for the N = 16 point, radix-4 decimation-in-time FFT...
determine and draw the signal flow graph for the N = 16 point, radix-4 decimation-in-time FFT algorithm. Using this flow graph, determine the DFT of the sequence x(n) = cos (πn/2) , 0 ≤ n ≤ 15
3. a. For the message signal m(t)-2sgnit) and unmodulated carrier cos(u,ti, draw the output of phase modulator with m(t) (n/4) cos(ω-') - For the message signal m(t)--2sgn(t) and unmodulated c...
3. a. For the message signal m(t)-2sgnit) and unmodulated carrier cos(u,ti, draw the output of phase modulator with m(t) (n/4) cos(ω-') - For the message signal m(t)--2sgn(t) and unmodulated carrier cos(w,t) shown above where -20m, draw the output of frequency modulator with m(t) (k-10n)
3. a. For the message signal m(t)-2sgnit) and unmodulated carrier cos(u,ti, draw the output of phase modulator with m(t) (n/4) cos(ω-') - For the message signal m(t)--2sgn(t) and unmodulated carrier cos(w,t) shown above where -20m, draw...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)-1. Please use the method based on root locus plot. G(s) 2 [s(s+2)] Please include detailed step Obtain the location of the desired dominant...
HW 1_Chi 1) Find the energies of the following signals below. 2) Find the power and the rms value of the signal belo a) x(-4) b)x(-t) c) x(2-4) 3) for the signal x(t) shown below, sketch the signals b) (-4)[u(t-2)-(-4)] 4) sketch the following signals a) uſt-5) - ult-7) 5) Simplify the following expressions: (a) (2+2) (1) (+3)sw) (c) le='cos (31 – 60°)80) () (sin ka ) s() 6) Evaluate the following integrals: (a) , 8(7)x(1 – t)dt (b) *()8(1-1)dt...
1.4. Let x[n] be a signal with x[n] = 0 for n < -2 and n > 4. For each signal given below, determine the values of n for which it is guaranteed to be zero. (a) xịn - 3] (b) x[n+ 4] (c) x[-n] (d) x[-n+2] (e) x[-n-2] 1.5. Let x(t) be a signal with x(t) = 0 for t <3. For each signal given below, determine the values of t for which it is guaranteed to be zero....
Discrete-time signal. Question is regarding Signals and Systems. Find the fundamental period of each these functions. (a) g[n]=cos(27n/10) (b) g[n] = cos(in/10)= cos(2īn/20) (c) g[n] = cos(2n/5)+cos(2 ron /7) (d) g[n]=ej 2an/20 +ej27n/20 (e) g[n]=e+j27n/3 + ej27n/4 (f) g[n]=sin(1310n/8) –cos(97n/6)=sin(2x1310n/16) -cos (2x3mn/4) (8) g[n]=e367n/21 + cos(22n/36)– sin(11ăn/33)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input signal is x[n] = 2e-n + sin(nn)- 2, -co <n< 0o. 7. (20 pts.) Determine the response of the system described by the difference equation 1 1 y(n)y(n1)n2)x(n 8 7 for input signal x(n) u(n) under the following initial conditions 1, y(-2) 0.5 y(-1)
(20 pts.) Determine the output sequence of the system with impulse response h[n] 6. u[n] when the input...
2. For the signal shown in figure, draw the following signals x(t) 2 1 -1 0 1 2 a. x(t-5) b. x(2t+1) C. x(6-t) d. x(-t-2) e. [x(t)+x(-t)Ju(t) 3. Given x[n]=(6-1)[[n] -u[n-6]], draw the following signals a. X[n+3] b. X[3n+1] c. X[6-n) d. x 4. Draw the following signals a. X(t)=u(sin st) b. X(t)=u(t+1)-2u(t)+u(t-1) c. X(t)=r(++4)-r(1+2)+u(t)-3r(1-4)+3r(1-5) d. x(t)=2u(t)-u(1-2)+1(1-3)-2r(1-4)+2r(1-5)
Problem 5. Determine the z-transform of the signal x[n] :=(-1)"nu[n]. You may use already known z-transforms, such as those listed in Table 5.1 (page 492) of the textbook, and properties of the z-transform. Moreover, notice that -1 = ejt. TABLE 5.1 Select (Unilateral) Z-Transform Pairs x[n] X[z] 8[n-k] ? 2-1 ոս[ո] (z - 1) z(z+1) (2-1)3 nºu[n] nu[n] z(z? + 4z +1) (2-1) Yºu[n] yn-u[n- 1] z-y 12 ny"u[n] (z-7) yz(z+y) (z-7)3 ny"u[n] n(n - 1)(n-2) (n-m+1) ym! lyl" cos...
Problem 3.) Find and plot X(w) and X(w), the magnitude and DTFT for the signal x[n] given by a) b) x[n]= cos(-n) x[n]-(-1)" (a)"u[n] for 0< a〈 1
3. a. For the message signal m(t)-2sgnit) and unmodulated carrier cos(u,ti, draw the output of phase modulator with m(t) (n/4) cos(ω-') - For the message signal m(t)--2sgn(t) and unmodulated carrier cos(w,t) shown above where -20m, draw the output of frequency modulator with m(t) (k-10n)
3. a. For the message signal m(t)-2sgnit) and unmodulated carrier cos(u,ti, draw the output of phase modulator with m(t) (n/4) cos(ω-') - For the message signal m(t)--2sgn(t) and unmodulated carrier cos(w,t) shown above where -20m, draw...
1 CONTROL SYSTEM ANALYSIS & DESIGN Spring 2019 HW 7 Due 4/4/2019, Thursday, 11:59pm 1. Design a lead compensator for the closed-loop (CL) system whose open loop transfer function is given below. Design objectives: reduce the time constant by 50% while maintaining the same value of the damping ratio for the dominant poles. Please note that H(s)-1. Please use the method based on root locus plot. G(s) 2 [s(s+2)] Please include detailed step Obtain the location of the desired dominant...
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