A video transmission system transmits 625 picture frames per second ea...
The data rate of a video transmission system can be calculated by considering the number of pixels, the number of intensity levels, and the frame rate. Let's break down the calculation step by step.
Step 1: Determine the number of pixels
Each frame consists of a 400x400 pixel grid, which means there are 400 * 400 = 160,000 pixels in each frame.
Step 2: Determine the number of bits per pixel
Since there are 64 intensity levels per pixel, we can represent each intensity level using 6 bits (2^6 = 64). Therefore, the number of bits per pixel is 6.
Step 3: Calculate the number of bits per frame
To calculate the number of bits per frame, we multiply the number of pixels by the number of bits per pixel:
Bits per frame = Number of pixels * Bits per pixel
Bits per frame = 160,000 * 6 = 960,000 bits
Step 4: Determine the frame rate
The frame rate of the video transmission system is given as 625 frames per second.
Step 5: Calculate the data rate
To calculate the data rate, we multiply the number of bits per frame by the frame rate:
Data rate = Bits per frame * Frame rate
Data rate = 960,000 bits * 625 frames per second
To convert the data rate to Gbps (Gigabits per second), we divide the data rate by 10^9:
Data rate (Gbps) = (960,000 * 625) / 10^9
Final calculation:
Data rate (Gbps) = 600 Gbps
Therefore, the data rate of the video transmission system is 600 Gbps. Since the correct answer is between 6.2 Gbps and 6.5 Gbps, it seems there is an error in the calculation or the provided answer range.