Signals and Systems Analysis Using Transform Methods and MATLAB 2nd. Edition by M.J. Roberts | 9780073380681 | 0073380687 | Holooly

Analog and Digital Signals and Systems

Signals and Systems Analysis Using Transform Methods and MATLAB

129 SOLVED PROBLEMS

Question: 4.13

Finding a bounded excitation that produces an unbounded response Consider an accumulator for which y[n] =∑m=-∞^n x[m]. . Find the eigenvalues of the solution of this equation and find a bounded excitation that will produce an unbounded response. We can take the first backward difference of both ...

Verified Answer:

The concepts of memory, causality, static nonlinea...

Question: 4.3

Modeling a continuous-time feedback system For the system illustrated in Figure 4.12, (a) Find its zero-input response, the response with x(t) =0 , if the initial value of y(t ) is y( 0) = 1 , the initial rate of change of y(t ) is ...

Verified Answer:

(a) From the diagram we can write the differential...

Question: 7.7

Inverse DTFT of a periodically repeated rectangle Find the inverse DTFT of X(F)= rect (wF)*δ1(F), w>1 using the definition of the DTFT. ...

Verified Answer:

Since we can choose to integrate over any interval...

Question: 6.17

System analysis using the CTFT A system described by the differential equation y(t) + 1000 y(t) = 1000 x(t) is excited by x(t) = 4 rect (200t) * δ0.01(t). Find and graph the response y(t ) . ...

Verified Answer:

From Example 6.16,

Y(f){\overset{f=\omega/2...

Question: 6.16

System analysis using the CTFT A system described by the differential equation y(t)+1000y(t)= 1000x(t) is excited by x(t) = 4 rect(200t). Find and graph the response y( t). ...

Verified Answer:

If we Fourier transform the differential equation ...

Question: 8.13

Solution of a differential equation with initial conditions using the unilateral Laplace transform Solve the differential equation x(t)+7x(t)+12 x(t) = 0 for times t > 0 subject to the initial conditions ...

Verified Answer:

First, Laplace transform both sides of the equatio...

Question: 8.14

Response of a bridged-T networknIn Figure 8.18 the excitation voltage is vi(t)= 10u(t) volts. Find the zero-state response vRL(t). ...

Verified Answer:

We can write nodal equations.

C_{1}\frac{d}...

Question: 8.15

Frequency response of a system from its pole-zero diagram Find the magnitude and phase frequency response of a system whose transfer function is ...

Verified Answer:

This can be factored into

\mathrm{H}(s)={\f...

Question: 9.1

z transform of a noncausal signal Find the z transform of x[n]=kα^|n|,α ∈ R Its variation with n depends on the value of α (Figure 9.9). It can be written as ...

Verified Answer:

If

|\alpha|\geq1

then

|\alph...

Question: 9.2

Inverse z transforms Find the inverse z transforms of (a) X(z) = z/z-0.5 – z/z+2 , 0.5<|z|<2 ...

Verified Answer:

(a) Right-sided signals have ROCs that are outside...

Loading...