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 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

$$\frac{1}{{2\pi }}$$

B

$$\frac{1}{\pi }$$

C

$$\frac{2}{\pi }$$

D

π

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

An electronic device rearranges numbers step-by-step in a particular order according to set of rules. The device stops when the final result is obtained.
Input: 84 15 35 04 18 96 62 08
Step 1: 96 84 15 35 04 18 62 08
Step 2: 96 84 62 15 35 04 18 08
Step 3: 96 84 62 35 15 04 18 08
Step 4: 96 84 62 35 18 15 04 08
Step 5: 96 84 62 35 18 15 08 04
And Step 5 is the last step for this input. Now, find out an appropriate step in the following question following the above rule. Question:
Input: 16 09 24 28 15 04
What will be the third step for this input ?

A

28 24 15 16 04 09

B

28 24 16 15 09 04

C

24 28 15 16 09 04

D

28 24 16 15 04 09

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

An electronic device when fed with the numbers, rearranges them in a particular order following certain rules. The following is a step-by-step process of rearrangement for the given input of numbers. Input :- 85 16 36 04 19 97 63 09 Step I :- 97 85 16 36 04 19 63 09 Step II :- 97 85 63 16 36 04 19 09 Step III :- 97 85 63 36 16 04 19 09 Step IV :- 97 85 63 36 19 16 04 09 Step V :- 97 85 63 36 19 16 09 04 (for the given input step V is the last step). Which of the following will be the last step for the given input ? Input :- 03 31 43 22 11 09

A

IV

B

V

C

VI

D

None of these

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)

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

Which of the following are the drawbacks of acceptance sampling? (i) Acceptance sampling is less expensive. (ii) Acceptance sampling has the risk of accepting good lots and rejecting bad lots. (iii) Acceptance sampling requires planning and documentation of the acceptance-sampling procedure whereas 100% inspection does not. (iv) Acceptance sampling requires less manpower.

A

i, ii, iii, iv

B

ii, iii, iv

C

ii, iii

D

i, ii, iv

Four voice signals. each limited to 4 kHz and sampled at Nyquist rate are converted into binary PCM signal using 256 quantization levels. The bit transmission rate for the time-division multiplexed signal will be

A

8 kbps

B

64 kbps

C

256 kbps

D

512 kbps

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

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