Mapping Analog High Pass Filter to Digital High Pass Filter
Analog high pass filters and digital high pass filters are two different types of filters that operate using different principles. It is not possible to directly map an analog high pass filter to a digital high pass filter.

Key Differences:
- Analog high pass filters operate on continuous signals, while digital high pass filters operate on discrete signals.
- Analog filters use passive components like resistors, capacitors, and inductors, while digital filters use algorithms and processing techniques.
- Analog filters have infinite precision due to the continuous nature of signals, while digital filters have finite precision due to quantization effects.

Challenges in Mapping:
- The transfer functions of analog and digital filters are fundamentally different, making direct mapping difficult.
- Analog filters may have characteristics like phase shift that are not easily preserved in digital filters.
- Differences in frequency response and frequency scaling further complicate the mapping process.

Alternative Approaches:
While direct mapping is not feasible, there are methods to design digital filters that approximate the behavior of analog filters. Techniques like bilinear transformation, impulse invariance, and frequency sampling can be used to design digital filters that mimic the characteristics of analog filters to a certain extent.

Conclusion
In conclusion, while analog high pass filters and digital high pass filters serve similar purposes, their operational principles and design methodologies are distinct. Directly mapping an analog high pass filter to a digital high pass filter is not feasible, but alternative approaches can be used to design digital filters that approximate the behavior of analog filters.