| 1 Function | 2 Reference Model | 3 Input/Output Data | 
| 4 SubAIMs | 5 JSON Metadata | 6 Profiles | 
| 7 Reference Software | 8 Conformance Texting | 9 Performance Assessment | 
1 Functions
Audio Synthesis Transform (CAE-AST):
| Receives | Enhanced Audio Object (Transform) | with associated Microphone Array info. | 
| Transforms | Enhanced Audio Object (Transform) | from the frequency domain to the time domain via an Inverse Fast Fourier Transform (IFFT). | 
| Produces | Enhanced Audio Object | with associated Microphone Array info. | 
2 Reference Model
Figure 1 depicts the Reference Architecture of the Audio Synthesis Transform (CAE-AST) AIM.

Figure 1 – The Audio Synthesis Transform (CAE-AST) AIM
3 Input/Output Data
Table 1 specifies the Input and Output Data of the Audio Synthesis Transform (CAE-AST) AIM.
Table 1 – I/O Data of Synthesis Transform (CAE-AST) AIM
| Input | Description | 
| Enhanced Audio Objects | Audio Objects in the time-frequency domain. | 
| Output | Description | 
| Enhanced Audio Objects | Audio Objects in the time domain. | 
4 SubAIMs
No SubAIMs.
5 JSON Metadata
https://schemas.mpai.community/CAE1/V2.3/AIMs/AudioSynthesisTransform.json
6 Profiles
No Profiles.
7 Reference Software
8 Conformance Testing
The following steps shall be followed when testing the Conformance of a CAE-AAT AIM instance.
- Use the following datasets
- DS1: n Test files including data in Enhanced Audio Objects (Transform).
 - DS2: n Expected Output files including data in Enhanced Audio Objects.
 
 - Feed the AIM under test with the Enhanced Audio Objects (Transform) Test files (DS1).
 - Analyse the Enhanced Audio Objects  with the Expected Enhanced Audio Objects (DS2) with the following steps:
- Check the Enhanced Audio Objects data format with the given Expected Enhanced Audio Objects format.
 - Calculate the peak-to-peak Amplitude (A) of each Audio block in the Expected Enhanced Audio Objects.
 - Calculate the RMSE of each Audio block by comparing the output (x) with the Expected Enhanced Audio Objects (y) Audio blocks.
 - Accept the AIM under test if, for each audio block, these the two conditions are satisfied:
- Data format of the Enhanced Audio Objects is the same with the Expected Enhanced Audio Objects and
 - RMSE < A* 0.1%
 
 
 - The Conformance Tester will provide the following matrix with a limited number of input records (n) with the corresponding outputs. If an input record fails, the tester would specify the reason why the test case fails.
 
| Input data (DS1) | Expected Output Data (DS2) | Data Format | RMSE | 
| Enhanced Audio Objects ID1 | Enhanced Audio Objects ID1 | T/F | < A* 0.1% | 
| Enhanced Audio Objects ID2 | Enhanced Audio Objects ID2 | T/F | < A* 0.1% | 
| Enhanced Audio Objects ID3 | Enhanced Audio Objects ID3 | T/F | < A* 0.1% | 
| … | … | … | |
| Enhanced Audio Objects IDn | Enhanced Audio Objects IDn | T/F | < A* 0.1% | 
- Final evaluation: T/F Denoting with i, the record number in DS1 and DS2, the matrices reflect the results obtained with input records i with the corresponding outputs i.
 
| DS1 | DS2 | Synthesis Transform output value (obtained through the AIM under test) | 
| DS1[i] | DS2[i] | SynthesisTransform[i] | 
Table 2 provides the Conformance Testing Method for the CAE-AST AIM for the formats of the CAE-AST AIM output.
Note: If a schema contains references to other schemas, conformance of data for the primary schema implies that any data referencing a secondary schema shall also validate against the relevant schema, if present and conform with the Qualifier, if present.
Table 2 – Conformance Testing Method for CAE-AST AIM
| Receives | Enhanced Audio Object (Transform) | Shall validate against Audio Object schema. Audio Data shall conform with Audio Qualifier.  | 
| Produces | Enhanced Audio Object | Shall validate against Audio Object schema. Audio Data shall conform with Audio Qualifier.  | 
9 Performance Assessment