function calculateFrequencyToBitRate() {
// 1. Get input elements exactly by ID
var sampleRateInput = document.getElementById('sampleRate');
var bitDepthInput = document.getElementById('bitDepth');
var channelsInput = document.getElementById('numChannels');
// 2. Parse values
var frequency = parseFloat(sampleRateInput.value);
var depth = parseFloat(bitDepthInput.value);
var channels = parseInt(channelsInput.value);
// 3. Elements for displaying results
var resultBox = document.getElementById('fbrResultBox');
var errorMsg = document.getElementById('fbrErrorMessage');
var resBps = document.getElementById('resBps');
var resKbps = document.getElementById('resKbps');
var resMbps = document.getElementById('resMbps');
var resFileSize = document.getElementById('resFileSize');
// 4. Validation logic
if (isNaN(frequency) || isNaN(depth) || isNaN(channels) || frequency <= 0 || depth <= 0) {
errorMsg.style.display = 'block';
resultBox.style.display = 'none';
return;
}
// 5. Hide error if valid
errorMsg.style.display = 'none';
// 6. Calculation Logic (Formula: Frequency * Bit Depth * Channels)
var bitsPerSecond = frequency * depth * channels;
var kiloBitsPerSecond = bitsPerSecond / 1000;
var megaBitsPerSecond = bitsPerSecond / 1000000;
// Calculate File Size per Minute in MB (Megabytes)
// (bitsPerSecond * 60 seconds) / 8 (bits to bytes) / 1024 (bytes to KB) / 1024 (KB to MB)
var bytesPerMinute = (bitsPerSecond * 60) / 8;
var megabytesPerMinute = bytesPerMinute / (1024 * 1024);
// 7. Update UI
resBps.innerHTML = bitsPerSecond.toLocaleString('en-US') + " bps";
resKbps.innerHTML = kiloBitsPerSecond.toFixed(2) + " kbps";
resMbps.innerHTML = megaBitsPerSecond.toFixed(3) + " Mbps";
resFileSize.innerHTML = megabytesPerMinute.toFixed(2) + " MB/min";
// 8. Show result box
resultBox.style.display = 'block';
}
Understanding Frequency to Bit Rate Conversion
In the world of digital audio and data transmission, understanding the relationship between sampling frequency (sample rate) and bit rate is crucial for determining audio quality and storage requirements. This Frequency to Bit Rate Calculator helps engineers, audiophiles, and developers compute the raw data throughput required for uncompressed Pulse Code Modulation (PCM) audio streams.
The Calculation Formula
To calculate the bit rate from a specific frequency, we use the standard PCM audio formula. The bit rate represents the amount of data processed per unit of time.
Bit Rate (bps) = Sample Rate (Hz) × Bit Depth (bits) × Number of Channels
Where:
Sample Rate (Frequency): The number of samples of audio carried per second, measured in Hertz (Hz). Common values are 44,100 Hz (CD) and 48,000 Hz (DVD/Video).
Bit Depth: The number of bits of information in each sample. Higher bit depths (like 24-bit) provide a higher dynamic range than lower depths (like 16-bit).
Channels: The number of discrete audio tracks (e.g., 1 for Mono, 2 for Stereo).
Common Audio Frequency and Bit Rate Standards
Below is a reference table for common uncompressed audio configurations and their resulting bit rates.
Format
Frequency (Hz)
Bit Depth
Channels
Bit Rate (approx)
Telephone Quality
8,000 Hz
8-bit
1 (Mono)
64 kbps
Audio CD
44,100 Hz
16-bit
2 (Stereo)
1,411.2 kbps
DVD Audio / Video
48,000 Hz
16-bit
2 (Stereo)
1,536 kbps
High-Res Audio
96,000 Hz
24-bit
2 (Stereo)
4,608 kbps
Why Does Bit Rate Matter?
File Size: The bit rate is directly proportional to the file size. A higher frequency or bit depth results in a higher bit rate, which consumes more storage space and requires more bandwidth to stream. For example, a standard CD quality stream requires roughly 10 MB of storage per minute.
Quality: While a higher bit rate allows for greater fidelity, it is limited by the source material. Upsampling a low-frequency file to a higher bit rate will not improve the quality, but recording at a higher sampling frequency initially captures more detail from the analog wave.
Converting Between Units
This calculator provides results in bps, kbps, and Mbps. Understanding the scaling is important for network engineering:
bps: Bits per second (Base unit).
kbps: Kilobits per second (1 kbps = 1,000 bps). Used for MP3s and streaming audio.
Mbps: Megabits per second (1 Mbps = 1,000,000 bps). Used for high-resolution raw audio and video feeds.
Use the calculator above to plan your bandwidth needs for streaming servers or to estimate storage requirements for recording sessions.