Signal and systems miscellaneous Easy Questions and Answers | Page - 25

Signal and systems miscellaneous

If y(t) = e^x(t), then relation is—

1. dynamic
1. static
1. memory
1. None of these

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The system represented by the equation y(t) = e^x(t) is static, since the output at time t is dependent on ‘t’ only. Besides this I/O relation is not integro-differential equation, therefore, y(t) = e^x(t) is memory less or static system.

Correct Option: B

The system represented by the equation y(t) = e^x(t) is static, since the output at time t is dependent on ‘t’ only. Besides this I/O relation is not integro-differential equation, therefore, y(t) = e^x(t) is memory less or static system.

A discrete-time version of function defined by
u[n] = 1‚ n ≥ 0 is called—
0‚ n < 0

1. Symmetric function
1. Characteristic function
1. Step function
1. None of these

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NA

Correct Option: C

NA

The system y(f) = d x(f) is—
dt

1. Discrete time dynamic
1. Continuous time dynamic
1. Static
1. Arbitrary

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y(t) = d x(t)
dt

Since, the I/O relation of continuous system is an integrate-differential equation, hence the given system is naturally dynamic.
Hence, alternative (B) is the correct choice.

Correct Option: B

y(t) = d x(t)
dt

Since, the I/O relation of continuous system is an integrate-differential equation, hence the given system is naturally dynamic.
Hence, alternative (B) is the correct choice.

If y[n] = x[2n], then it is a system of—

1. Dynamic
1. Memory
1. Memory less
1. None of these

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The input-output relation of above discrete time system does not include summation, difference and delay elements, further the output is time scaled version of input itself.
y(n) = x[2n] is a discrete time static system (memory less).
Hence, alternative (C) is the correct choice.

Correct Option: C

The input-output relation of above discrete time system does not include summation, difference and delay elements, further the output is time scaled version of input itself.
y(n) = x[2n] is a discrete time static system (memory less).
Hence, alternative (C) is the correct choice.

If y(t) = 1 ^t x(t)dt, the system is—
C _{– ∞}

1. causal
1. non-causal
1. static
1. None of these

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y(t) = 1 ^t x(t)dt
C _{– ∞}

Here, the I/O equation of continuous time system. The integral is over preceding signal data only.
Hence, the system is causal.

Correct Option: A

y(t) = 1 ^t x(t)dt
C _{– ∞}

Here, the I/O equation of continuous time system. The integral is over preceding signal data only.
Hence, the system is causal.