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111-test-111

Math MCP Server

by 111-test-111

signal_processing_calculator

Perform FFT, filtering, modulation, and signal generation for digital signal processing tasks with sampling rates, noise, and windowing.

Instructions

Brief description: Professional digital signal processing tool, supporting FFT, filtering, modulation/demodulation, etc.
Examples:
    signal_processing_calculator(operation='generate_signal', signal_type='sine', frequency=10, sampling_rate=1000, duration=1)
    signal_processing_calculator(operation='fft', signal=[1,2,3,4,5,6,7,8], sampling_rate=8)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
operationYesSignal processing operation. Supports: 'fft', 'generate_signal', 'filter', 'windowing', 'autocorrelation', 'spectral_analysis', 'modulation'
signalNoInput signal data for small datasets (<1000 points)
signal_fileNoSignal file path (.json format) for large data processing
sampling_rateNoSampling rate in Hz, must be positive
frequencyNoSignal frequency in Hz for generation/modulation
filter_typeNoFilter type. Supports: 'lowpass', 'highpass', 'bandpass', 'moving_average'
cutoff_freqNoCutoff frequency in Hz for filtering
window_sizeNoWindow size for windowing/spectral analysis
overlapNoWindow overlap ratio for spectral analysis
orderNoFilter order
durationNoSignal duration in seconds for generation
noise_levelNoNoise amplitude for signal generation
signal_typeNoSignal type for generation. Supports: 'sine', 'cosine', 'square', 'sawtooth', 'white_noise'
output_filenameNoOutput filename without path
Behavior2/5

Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

No annotations are provided, so the description must carry the full burden. It fails to disclose behavioral traits like side effects, required permissions, limitations (e.g., data size handling via signal_file is only in schema), or return value structure. The description only lists operations.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is concise with a brief sentence and two examples. It is front-loaded with the purpose. However, it could be more structured by separating the summary from examples.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With 14 parameters, no output schema, and no annotations, the description is insufficient. It lacks information on return values, error handling, and parameter selection logic (e.g., when to use signal vs signal_file).

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 100%, so baseline is 3. The description adds examples that illustrate parameter combinations but does not add new meaning beyond the schema's parameter descriptions. The examples are helpful but not essential.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states it's a professional digital signal processing tool supporting operations like FFT, filtering, modulation, etc. The examples reinforce this. It distinguishes itself from sibling tools like basic_arithmetic or calculus_engine by focusing on signal processing, though the description is broad.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance on when to use this tool versus alternatives. There is no mention of prerequisites, context, or when not to use it. The examples only show syntax, not decision criteria.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.

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