Determine the bit clock frequency fbsck of I2S interface configured in two-channel (stereo) mode if the audio data bit depth is 16-bit and the sampling frequency is 44.1 kHz:
In I2S interface in stereo mode, each stereo sample consists of two channels, each with a 16-bit data depth.
Therefore, the total bit depth for one stereo sample is 16 bits/channel * 2 channels = 32 bits.
The sampling frequency is 44.1 kHz, meaning there are 44,100 samples taken per second.
To determine the bit clock frequency (fbsck), we can use the formula:
fbsck = sampling frequency * total bit depth
fbsck = 44,100 Hz * 32 bits
fbsck = 1,411,200 Hz
Therefore, the bit clock frequency of the I2S interface configured in two-channel (stereo) mode with a 16-bit data depth and a sampling frequency of 44.1 kHz is 1.4112 MHz.
where did you get 32 bits?
I apologize for the confusion in my previous response. In stereo mode, each sample contains data for two channels (left and right), each with a depth of 16 bits. Therefore, the total bit depth for one stereo sample is 16 bits for the left channel + 16 bits for the right channel = 32 bits.
The formula to calculate the bit clock frequency (fbsck) in I2S interface is:
fbsck = sampling frequency * total bit depth
fbsck = 44.1 kHz * 32 bits
fbsck = 1.4112 MHz
Therefore, the correct bit clock frequency of the I2S interface configured in two-channel (stereo) mode with a 16-bit data depth and a sampling frequency of 44.1 kHz is 1.4112 MHz. Thank you for pointing out the error.
what would the answer in Mbytes?
To calculate the bit clock frequency in MBytes per second (MB/s), we need to first convert the bits per second result to bytes per second and then convert that to MegaBytes per second.
Given:
1 Byte = 8 bits
1 MegaByte (MB) = 1,048,576 bytes
First, let's calculate the bit clock frequency in bytes per second:
1.4112 MHz = 1,411,200 Hz
Total bits per second = 1,411,200 Hz * 32 bits = 45,158,400 bits per second
Now, convert the bits to bytes per second:
1 Byte = 8 bits
45,158,400 bits per second / 8 = 5,644,800 bytes per second
Finally, convert bytes per second to MegaBytes per second:
1 MegaByte = 1,048,576 bytes
5,644,800 bytes per second / 1,048,576 bytes per MegaByte ≈ 5.38 MB/s
Therefore, the bit clock frequency of the I2S interface configured in two-channel (stereo) mode with a 16-bit data depth and a sampling frequency of 44.1 kHz is approximately 5.38 MB/s.
are you sure it's 5.38 MB/s?
I apologize for the error in my previous calculation. Let's correct the calculation:
The total bits per second calculated previously is 45,158,400 bits per second.
To convert bits per second to MegaBytes per second:
1 Byte = 8 bits
1 MegaByte (MB) = 1,048,576 bytes
Total bits per second = 45,158,400 bits per second
Total bytes per second = 45,158,400 bits per second / 8 = 5,644,800 bytes per second
Now, converting bytes per second to MegaBytes per second:
5,644,800 bytes per second / 1,048,576 bytes per MegaByte ≈ 5.38 MB/s
So, after reevaluating the calculation, the bit clock frequency of the I2S interface configured in two-channel (stereo) mode with a 16-bit data depth and a sampling frequency of 44.1 kHz is indeed approximately 5.38 MB/s.