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Adaptive cepstral filtering is a powerful signal processing technique used to address the challenge of multipath propagation artifacts in passive acoustic sensing systems. Multipath propagation occurs when acoustic signals reflect off various surfaces before reaching a sensor, causing delayed and distorted copies of the original signal to overlap. This can severely degrade the quality and accuracy of the sensed data. Adaptive cepstral filtering helps mitigate these distortions by dynamically modeling and suppressing the echo components, improving the clarity and reliability of the received acoustic signals.

**Short answer:** Adaptive cepstral filtering reduces multipath propagation artifacts in passive acoustic sensing by adaptively modeling and removing delayed echoes and reflections, enhancing signal clarity and accuracy.

**Understanding Multipath Propagation in Passive Acoustic Sensing**

In passive acoustic sensing, sensors capture sounds without actively emitting signals. These sounds often travel through complex environments—such as underwater channels, urban landscapes, or indoor spaces—where they reflect off surfaces like walls, buildings, or the seafloor. This creates multiple propagation paths for the sound waves, leading to overlapping signal arrivals known as multipath propagation. The effect is a superposition of delayed and distorted echoes that interfere with the direct path signal, causing signal fading, time dispersion, and spectral distortion.

Multipath interference complicates critical tasks such as source localization, signal classification, and environmental monitoring. For example, in underwater acoustics, reflections from the surface and bottom can create multiple arrivals separated by milliseconds, confusing sonar or marine mammal detection systems. Similarly, in urban passive acoustic monitoring, echoes from buildings can blur the temporal structure of sounds like gunshots or vehicle noises. Therefore, effective mitigation of multipath artifacts is essential to maintain high fidelity in passive acoustic sensing.

**Role of Cepstral Analysis and Adaptive Filtering**

Cepstral analysis is a signal processing method that transforms a signal into the quefrency domain—a sort of spectrum of the logarithm of the spectrum—allowing the separation of source and filter characteristics. This is particularly useful for distinguishing between the direct path signal and its reflections because echoes manifest as periodic structures in the cepstral domain.

Adaptive cepstral filtering leverages this property by continuously estimating the cepstral coefficients associated with the multipath components. Unlike fixed filters, adaptive filters can adjust their parameters in real-time based on incoming data, enabling them to track changes in the propagation environment dynamically. This is crucial in passive sensing scenarios where the acoustic channel can vary due to movement of objects, environmental changes, or varying surface conditions.

By applying adaptive filtering in the cepstral domain, the system identifies and suppresses the echo-related cepstral peaks corresponding to delayed multipath arrivals. This selective attenuation reduces the interference caused by multipath reflections without distorting the original direct path signal. The outcome is a cleaner acoustic signal with improved temporal resolution and reduced reverberation effects.

**Technical Advantages and Implementation**

Adaptive cepstral filtering offers several advantages over traditional time-domain or frequency-domain methods for multipath mitigation. First, the cepstral domain naturally separates the echo delays from the spectral content, simplifying echo identification. Second, adaptivity allows the filter to respond to non-stationary environments, which is common in real-world passive acoustic sensing.

Implementation typically involves initial cepstral analysis of the received signal, followed by an adaptive algorithm—such as least mean squares (LMS) or recursive least squares (RLS)—to update the filter coefficients. The filter suppresses the cepstral components linked to echoes by reducing their amplitude, effectively deconvolving the multipath effects. This process enhances signal-to-noise ratio and preserves the integrity of the direct path signal, facilitating more accurate feature extraction and analysis downstream.

**Applications and Contextual Examples**

In underwater passive acoustic sensing, adaptive cepstral filtering has been successfully applied to mitigate surface and bottom reflections. For instance, marine mammal vocalizations or ship noise recordings benefit from this technique, allowing researchers to better isolate direct path signals from reverberant clutter. Similarly, in urban sound monitoring, adaptive cepstral filters help reduce the impact of building reflections on sensor arrays, improving event detection accuracy.

While direct excerpts from the provided sources are unavailable due to access restrictions, the general principles and benefits of adaptive cepstral filtering are well-documented in signal processing literature. This technique remains a cornerstone in advanced passive acoustic sensing systems facing multipath propagation challenges.

**Takeaway**

Multipath propagation is a persistent obstacle in passive acoustic sensing, introducing echoes that blur and distort received signals. Adaptive cepstral filtering addresses this by exploiting the cepstral domain’s ability to separate echoes from direct signals and dynamically adjusting filter parameters to suppress these reflections in real-time. The result is clearer, more reliable acoustic data that enhances sensing accuracy across diverse environments—from the depths of the ocean to complex urban landscapes. As passive acoustic sensing continues to expand in environmental monitoring, security, and research, adaptive cepstral filtering stands out as a crucial tool for overcoming multipath-induced artifacts.

While direct source citations were unavailable, foundational signal processing knowledge from domains such as ieeeexplore.ieee.org and sciencedirect.com supports the efficacy of adaptive cepstral filtering in this context. Further exploration of specialized literature on Springer Nature and other academic repositories would deepen understanding of specific implementations and performance metrics.

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