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The system shown in Fig.is composed of two systems in cascade. Answer the following questions. System...
3. a) Find a state space representation for a linear system represented by the following differen...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
Consider the cascade of LTI discrete-time systems shown in Figure P2.37. LTI System 1 hi[n], H...
Consider the cascade of LTI discrete-time systems shown in Figure P2.37. LTI System 1 hi[n], H (el) LTI System 2 h2[n], H2(eje) Figure P2.37 The first system is described by the frequency response Hi(j =c-joo < 0.25% 11 0.25% < and the second system is described by <A hain) = 2 Sin(0.57) (a) Determine an equation that defines the frequency response, H(e)®), of the overall system over the range -- SUSA. (b) Sketch the magnitude. He"), and the phase, ZH(e)),...
Problem 1. (10 points) The unit impulse responses of two linear time-invariant systems are hi(t) =...
Problem 1. (10 points) The unit impulse responses of two linear time-invariant systems are hi(t) = 400me-200t u(t) h (t) = 4007e-200nt cos(20,000nt u(t). a) Find the magnitude responses of these systems. b) Determine the filter type and 3 dB cut-off frequency of the first system hi(t). c) How about the second system hz(t)?
4. Sketch the Bode magnitude plot ofa fiter having a transfer function 10's H(s)- (s+500) (s+S0s+...
4. Sketch the Bode magnitude plot ofa fiter having a transfer function 10's H(s)- (s+500) (s+S0s+2500) he following senilog graph to sketch yo ur plot (and please scale the eequeney axis proper a) Please use t receive full credits) b) What kind of filter is it and why? read the approximate 3-dB cut-off frequencies of the filter From your plot ont is the asrsximate.ostt of the filter due to an input, st)- 2sin(400)-3os(10 a) c) frequency axis properly a) Please...
3. a) Find a sate space representation for a linear system represented by the following different...
3. a) Find a sate space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(0) is the output: 4y(t)- 2(t)-2y(t)3(t) b) Consider a linear system represented by the following differential equation, where st) denotes the input and yt) is the output: )+4() +4y(t)x(t) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input...
4. In order to process the recorded EEG signal, you need to design a filter system...
4. In order to process the recorded EEG signal, you need to design a filter system that has the following frequency response. Determine a) transfer function of the system; b) Time-domain differential equation of the system. w dB 40 dB 20109, 0/H(jw)| (dB) D -40 dB 10' Frequency (radians/sec) 10° phase(H(jw)) (radians) 72 10° 10 Frequency (radians/sec)
2.7.5 The impulse response of a continuous-time LTI system is given by (a) What is the...
2.7.5 The impulse response of a continuous-time LTI system is given by (a) What is the frequency response H (w) of this system? (b) Find and sketch |H(w) (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = δ(t-2) (This is a delay of 2.) (a) What is the frequency response H (w) of this system? (b) Find and sketch the frequency response...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the ga...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of the circuit; 3. Identify the type of filter the circuit is, and state the break (cut off) frequency. R1 v(t)Vcos(ut) L1 R2 Figure 1
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of...
- Frequency Response (Amplitude Response only). Hz). with frequency, 22. for a discrete time system shown...
- Frequency Response (Amplitude Response only). Hz). with frequency, 22. for a discrete time system shown below. *(-1) - x[-2] - ... -0 and yf-1) - Y[-2] ... - x[r] - int) Find “Math Model" for the system. nt) Find "Transfer Function" for the system. Draw the pole-zero plot for the system (use unit circle on Re-Im axis) Sketch the amplitude response of the system → indicate values at important points (92 = 0, 1/4, 21/4, 37/4, T) include detailed...
PROBLEM 8.1 Consider a bandpass filter specified by the system function 2Swns H (s) = Note that t...
PROBLEM 8.1 Consider a bandpass filter specified by the system function 2Swns H (s) = Note that the half-power bandwidth of (1) is 2Çwn (a) Figure 1 shows the magnitude squared frequency response for a particular instance of (1) (b) In part (a), you looked at the "horizontal ct of 0.5 on the magnitude squared graph. Let's Find wn and C from the graph look at another cut. Measure the two frequencies on the graph for which the magnitude squared...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
Consider the cascade of LTI discrete-time systems shown in Figure P2.37. LTI System 1 hi[n], H (el) LTI System 2 h2[n], H2(eje) Figure P2.37 The first system is described by the frequency response Hi(j =c-joo < 0.25% 11 0.25% < and the second system is described by <A hain) = 2 Sin(0.57) (a) Determine an equation that defines the frequency response, H(e)®), of the overall system over the range -- SUSA. (b) Sketch the magnitude. He"), and the phase, ZH(e)),...
Problem 1. (10 points) The unit impulse responses of two linear time-invariant systems are hi(t) = 400me-200t u(t) h (t) = 4007e-200nt cos(20,000nt u(t). a) Find the magnitude responses of these systems. b) Determine the filter type and 3 dB cut-off frequency of the first system hi(t). c) How about the second system hz(t)?
4. Sketch the Bode magnitude plot ofa fiter having a transfer function 10's H(s)- (s+500) (s+S0s+2500) he following senilog graph to sketch yo ur plot (and please scale the eequeney axis proper a) Please use t receive full credits) b) What kind of filter is it and why? read the approximate 3-dB cut-off frequencies of the filter From your plot ont is the asrsximate.ostt of the filter due to an input, st)- 2sin(400)-3os(10 a) c) frequency axis properly a) Please...
3. a) Find a sate space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(0) is the output: 4y(t)- 2(t)-2y(t)3(t) b) Consider a linear system represented by the following differential equation, where st) denotes the input and yt) is the output: )+4() +4y(t)x(t) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input...
4. In order to process the recorded EEG signal, you need to design a filter system that has the following frequency response. Determine a) transfer function of the system; b) Time-domain differential equation of the system. w dB 40 dB 20109, 0/H(jw)| (dB) D -40 dB 10' Frequency (radians/sec) 10° phase(H(jw)) (radians) 72 10° 10 Frequency (radians/sec)
2.7.5 The impulse response of a continuous-time LTI system is given by (a) What is the frequency response H (w) of this system? (b) Find and sketch |H(w) (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = δ(t-2) (This is a delay of 2.) (a) What is the frequency response H (w) of this system? (b) Find and sketch the frequency response...
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of the circuit; 3. Identify the type of filter the circuit is, and state the break (cut off) frequency. R1 v(t)Vcos(ut) L1 R2 Figure 1
the circuit shown, 1. Find the transfer function H(jw) 2. If R R2 12 and L1mH, plot the frequency response (both the gain and the phase shift) of...
- Frequency Response (Amplitude Response only). Hz). with frequency, 22. for a discrete time system shown below. *(-1) - x[-2] - ... -0 and yf-1) - Y[-2] ... - x[r] - int) Find “Math Model" for the system. nt) Find "Transfer Function" for the system. Draw the pole-zero plot for the system (use unit circle on Re-Im axis) Sketch the amplitude response of the system → indicate values at important points (92 = 0, 1/4, 21/4, 37/4, T) include detailed...
PROBLEM 8.1 Consider a bandpass filter specified by the system function 2Swns H (s) = Note that the half-power bandwidth of (1) is 2Çwn (a) Figure 1 shows the magnitude squared frequency response for a particular instance of (1) (b) In part (a), you looked at the "horizontal ct of 0.5 on the magnitude squared graph. Let's Find wn and C from the graph look at another cut. Measure the two frequencies on the graph for which the magnitude squared...
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