Systems and methods are provided for detecting wake words. An electronic device detects an audio signal; identifies two spatial zones as first and second sources of audio associated with the audio signal; processes the audio signal at two wake word detection engines, where each detection engine is associated with a respective spatial zone; determines, based on the processing at the wake word detection engines, whether the audio signal represents a wake word for the electronic device; and in accordance with a determination that the audio signal does represent a wake word, adjusts a wake word detection threshold for at least one of the wake word detection engines.