How many channels of 24-bit, 48kHz audio can be supported on a 1 Gbps connection?

A 1 Gbps connection can support a substantial number of audio channels due to the bandwidth it provides. To determine how many channels of 24-bit, 48 kHz audio can fit into this bandwidth, one must first calculate the amount of data each channel consumes.

The calculation goes as follows:

1. Sample Rate: 48 kHz means there are 48,000 samples per second.

2. Bit Depth: 24 bits per sample means each sample uses 3 bytes (since 1 byte = 8 bits).

3. Data Rate per Channel: Multiply the samples per second by the bytes per sample. Thus, for one channel: [ 48,000 , \text{samples/second} \times 3 , \text{bytes/sample} = 144,000 , \text{bytes/second} ]

4. Total Data Rate Available: Convert 1 Gbps to bytes per second: [ 1 , \text{Gbps} = 1,000,000,000 , \text{bits/second} = 125,000,000 , \text{bytes/second