Required information Consider the CTFT pair. F A rect (4) * rect () → 80 sinc (2f) sinc (4f) The numerical values of the literal constants are A = | and a =
Quantization and Resolution
Quantization is a methodology of carrying out signal modulation by the process of mapping input values from an infinitely long set of continuous values to a smaller set of finite values. Quantization forms the basic algorithm for lossy compression algorithms and represents a given analog signal into digital signals. In other words, these algorithms form the base of an analog-to-digital converter. Devices that process the algorithm of quantization are known as a quantizer. These devices aid in rounding off (approximation) the errors of an input function called the quantized value.
Probability of Error
This topic is widely taught in many undergraduate and postgraduate degree courses of:
![---
**Required Information**
Consider the CTFT pair.
\[ A \, \text{rect}\left( \frac{t}{a} \right) \ast \text{rect}\left( \frac{t}{4} \right) \xleftrightarrow{\mathcal{F}} 80 \, \text{sinc}(2f) \, \text{sinc}(4f) \]
The numerical values of the literal constants are \( A = \underline{\quad} \) and \( a = \underline{\quad} \).
---
Explanation:
- The expression involves the continuous-time Fourier transform (CTFT) pair.
- The convolution of two rectangular functions in the time domain is given on the left.
- The corresponding frequency domain function involves products of sinc functions, indicative of the Fourier transforms of the rectangular functions.
- The task is to find numerical values for constants \( A \) and \( a \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b94d5d1-8249-4b1b-8d70-6007d482e8f0%2F39d0bc6a-e13e-4e98-be7f-7825451bfa83%2Fxbvysv_processed.png&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
