A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size Δ of the delta modulator are 20,000 samples per second and 0.1 V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

A linear delta modulator is designed to operate on speech signals limited to 3.4 kHz. The sampling rate is 10 time the Nyquist rate of the speech signal. The step size is 100 m V. The modulator is tested with a this test signal required to avoid slope overload is

A

2.04 V

B

1.08 V

C

4.08 V

D

2.16 V

Which of the two statements from the following statements are correct? (A) Sampling - related error is subsumed under the category non-sampling error. (B) Sampling error doesn't occur in multi-stage cluster sampling. (C) Inaccurate sampling frame and non-response are examples of sampling related error. (D) There is an inverse relation between heterogeneity of population and sampling error. Choose the correct option:

A

(A) and (C) only

B

(A) and (D) only

C

(B) and (D) only

D

(B) and (C) only

A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output

A

Is an undistorted version of the original signal

B

Contains only the 3 kHz component

C

Contains the 3 kHz component and a spurious component of 2 kHz

D

Contains both the components of the original signal and two spurious components of 2 kHz and 5 kHz

From the list given below, identify those which are called ‘Non-Probability Sampling’ procedures: (i) Simple random sampling (ii) Dimensional sampling (iii) Snowball sampling (iv) Cluster sampling (v) Quota sampling (vi) Stratified sampling Choose the correct option:

A

(i), (ii) and (iii)

B

(ii), (iv) and (v)

C

(i), (iii) and (iv)

D

(ii), (iii) and (v)

In an AM system receiver. the mixer translates the carrier frequency fc to a fixed intermediate frequency of 450 kHz. Given a broadcast signal of frequency 900 kHz. What is the corresponding image frequency when a superhetrodyne receiver is employed with local oscillator frequency greater than the broadcast signal frequency?

A

900 kHz

B

1800 kHz

C

800 kHz

D

1350 kHz

Assertion (A): Nyquist rate of sampling is the theoretical minimum sampling rate at which the signal can be sampled and still be reconstructed from its samples. Reason (R): When the Nyquist rate sampling is used, only an ideal low pass filter can be used to extract signal x(t) from sampled signal xs(t). Code:

A

Both (A) and (R) are true and (R) is the correct explanation of (A).

B

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

C

(A) is true, but (R) is false.

D

(A) false, but (R) is true

The minimum step-size required for a Delta-Modulator operating at 32 K samples/sec to track the signal (here u(t) is the unit-step function)
x(t) = 125t(u(t) - u(t - 1)) + (250 - 125t)(u(t - 1) - u(t - 2)) so that slope-overload is avoided, would be

A

2^-10

B

2^-8

C

2^-6

D

2^-4

Consider the following remarks pertaining to the irrotational flow: 1. The Laplace equation of stream function \(\frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\Psi }}}}{{\delta {y^2}}} = 0\) must be satisfied for the flow to be potential. 2. The Laplace equation for the velocity potential \(\frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {x^2}}} + \frac{{{\delta ^2}{\rm{\varphi }}}}{{\delta {y^2}}} = 0\) must be satisfied to fulfil the orate . of mass conservation i.e continuity equation.. Which of the above statements is/are correct?

A

1 only

B

Both 1 and 2

C

2 only

D

Neither 1 or 2

Match the items in List - I (Techniques of sampling) with that of List - II (characteristics of procedure). Choose appropriate code for your answer : Set - I (Techniques of sampling) Set – II (Characteristics of procedure) (a) Purposive sampling (i) Dividing the population into subgroups and taking one or more groups at random (b) Multistage sampling (ii) Researcher relies on his or her own judgment when choosing members from the population (c) Systematic sampling (iii) Obtaining K ‘interval’ through N/n and using it for constituting the sample (d) Stratified sampling (iv) Researcher divides the entire population into homogeneous subgroups and randomly selects the final sample

A

(a) - (i), (b) - (iii), (c) - (iv), (d) - (ii)

B

(a) - (ii), (b) - (i), (c) - (iii), (d) - (iv)

C

(a) - (iv), (b) - (ii), (c) - (i), (d) - (iii)

D

(a) - (iii), (b) - (i), (c) - (iv), (d) - (ii)

A 1 kHz sinusoidal signal is ideally sampled at 1500 samples/sec and the sampled signal is passed through an ideal low-pass filter with cutoff frequency 800 Hz. The output signal has the frequency

A

Zero Hz

B

0.75 kHz

C

0.5 kHz

D

0.25 kHz

A sinusoidal signal of 2 kHz frequency is applied to a delta modulator. The sampling rate and step-size Δ of the delta modulator are 20,000 samples per second and 0.1 V, respectively. To prevent slope overload, the maximum amplitude of the sinusoidal signal (in Volts) is

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