# MATLAB Mcqs

Q:

A) True | B) False |

Answer & Explanation
Answer: A) True

Explanation: The Z-transform of the impulse response of discrete time system gives the transfer function of the system in z-domain. This can also be achieved from the impulse invariance transformation. Hence, the converse should be true and the above statement is true.

Explanation: The Z-transform of the impulse response of discrete time system gives the transfer function of the system in z-domain. This can also be achieved from the impulse invariance transformation. Hence, the converse should be true and the above statement is true.

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Q:

A) Multiplication in z-domain | B) Squaring in z-domain |

C) Doubling the signal in z-domain | D) Convolution in z-domain |

Answer & Explanation
Answer: A) Multiplication in z-domain

Explanation: Not available for this question

Explanation: Not available for this question

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Q:

A) True | B) False |

Answer & Explanation
Answer: B) False

Explanation: The Z-transform does follow the principles of homogeneity and superposition. Hence, the linearity principle can be applied to check if a system is linear or not in the z-domain.

Explanation: The Z-transform does follow the principles of homogeneity and superposition. Hence, the linearity principle can be applied to check if a system is linear or not in the z-domain.

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Q:

A) True | B) False |

Answer & Explanation
Answer: A) True

Explanation: The signal needs to be a sampled sequence so that it can be represented in terms of the complex frequency z. Hence, the above statement is true.

Explanation: The signal needs to be a sampled sequence so that it can be represented in terms of the complex frequency z. Hence, the above statement is true.

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Q:

A) Interior | B) Exterior |

C) On the circumference | D) Nowhere near |

Answer & Explanation
Answer: A) Interior

Explanation: For σ<0, |z| is less than 1. Hence, the point lies interior to the circle |z|=1.

Explanation: For σ<0, |z| is less than 1. Hence, the point lies interior to the circle |z|=1.

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Q:

A) |z|>|1| | B) Entire z plane except z=0 |

C) Entire z plane except z=∞ | D) Does not exist |

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Q:

A) -∞ to ∞ | B) 0 to ∞ |

C) -∞ to 0 | D) Does not exist |

Answer & Explanation
Answer: A) -∞ to ∞

Explanation: Unilateral Z-Transform ranges are provided in 0 to ∞ and -∞ to 0. For Bilateral Z-transform the signal can be defined in the range given in option -∞ to ∞.

Explanation: Unilateral Z-Transform ranges are provided in 0 to ∞ and -∞ to 0. For Bilateral Z-transform the signal can be defined in the range given in option -∞ to ∞.

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Q:

A) The entire z-plane | B) Interior to the unit circle |z|=1 |

C) Exterior to the unit circle |z|=1 | D) Between the unit circle |z|=1 and |z|=∞ |

Answer & Explanation
Answer: A) The entire z-plane

Explanation: The impulse function has a Z-transform equal to 1.Since it is independent of z, it exists for all values of z. Hence, the Z-transform converges for all values of z. Thus, the R.O.C. of impulse function is the entire z-plane.

Explanation: The impulse function has a Z-transform equal to 1.Since it is independent of z, it exists for all values of z. Hence, the Z-transform converges for all values of z. Thus, the R.O.C. of impulse function is the entire z-plane.

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