6.003 HOMEWORK 1 SOLUTION

Teachers can follow the teacher tips and post parent. Each is one-sixth of a full circle, so the period of the response should be 6, which it is. A simple model of the body is a tank of blood from which drug exits at a rate proportional to its concentration and into which drug doses instantly arrive. Im z z-plane Re z 1 The system has two poles and therefore two modes. The other issue is the vertical stretch. Determine the system functional for this block diagram. The first is acyclic and the second is cyclic.

Choosing a bank Consider two banks. Here we want the the step response. One way to check is by making a sketch. Iterative methods for the solution of finite difference approximation to elliptic equation Richardson, ; Liebman. In particular, signals[0] is the input signal.

The delta function impulse produces a current impulse, which contributes a finite charge. So this functional cannot be right.

ohmework So the extra sensor delay has pushed the system toward instability. Deter- mine the difference equation and block diagram representations for this system. Remember me on this computer. But the functional is the ratio of two voltages, Vin and Voutso it should be dimensionless.

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Mark the poles and zeros of the system on a pole—zero diagram. Rewrite the block diagram so that the main solhtion is the cascade of three identical systems. Why save baggage small terms that you will throw away at the end of a trip? Write a program to determine how much tracer is in the sherry bottled in year n for a B-barrel solera system, where B is a parameter to your program.

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Determine the steady-state value of tracer in the first barrel, i. Eventually the mass catches up to 6.00, the oscillations die, and the spring returns to its natural length. Signals and Systems Fall 35 Here are the computed output signals: Im z z-plane Re z 1 The system has two poles and therefore two modes.

6.003 homework 1 solution

Determine the unit sample response of this system. Determine an input sequence x[n] for which the persistent response contains some multiple of the first but not any of the second mode.

6.003 homework 2 solution – cdma homework solution

Here is a feedback-control system: Due in recitation on Wednesday, 19 September Signals and Systems Fall 45 Each signal is available on Stellar as a data file with one t, f t pair on solutoon line.

Always sketch your results! Click here to sign up. Let X be the input signal and Y the output signal.

The amplitudes depend on the input X, which is not specified. Then give the partial-fractions decomposition, the impulse response of each term in the decomposition, and the sum of the impulse responses.

At every homewkrk step the signals vector is updated.

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6.003 homework 1 solution

homeeork Signals and Systems Fall 16 The pole—zero plot in part b was the simplest because one can tell at a glance what the behav- ior of the poles are, just by looking at solutiion location relative to the unit circle and to the positive real axis. We have practiced using it to find the impulse response. The system functional is dimensional nonsense, and cannot be valid. To preserve the area despite stretching the curve horizontally by a factor of three, shrink it vertically by a factor of three.

6.003 homework 1 solution

Now add one more sensor delay. Designing recognizers In this problem you design recognizers for particular sound patterns — such as might be used for speech recognition. Which bank has the larger balance in the year ?

Which route is easier: We presented the complete option of this. Choosing a bank Consider two banks. Choose the parameter s of the system so that, in the absence of new drug, two-thirds of the drug is filtered out say, by the kidneys every 8 hours.